# Calculus

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### Introduction to Calculus

- What is Calculus?
- Prologue and Historical Context
- Understanding the Gradient function
- Introduction to Limits
- Determining Limits Graphically
- Formal Definition of a Limit at a Point
- Determining One Sided Limits
- Determining When a Limit does not Exist
- Determining Limits Algebraically
- Infinite Limits and Vertical Asymptotes
- Limits for The Squeeze Theorem
- Limits at Infinity and Horizontal Asymptotes
- Continuous Functions
- Intemediate Value Theorem
- Definition of Continuity at a Point
- Classifying Topics of Discontinuity (removable vs. non-removable)
- Rate of Change of a Function
- Average Rate of Change Over an Interval
- Instantaneous Rate of Change at a Point
- Slope of a Curve at a Point
- Tangent Line to a Curve
- Normal Line to a Tangent
- Average Velocity
- Instantaneous Velocity
- Limit Definition of Derivative
- First Principles Example 1: x²
- First Principles Example 2: x³
- First Principles Example 3: square root of x
- Standard Notation and Terminology
- Differentiable vs. Non-differentiable Functions
- Power Rule
- Sum Rule
- Product Rule
- Proof of the Product Rule
- Quotient Rule
- Proof of Quotient Rule
- Chain Rule
- Implicit Differentiation
- Summary of Differentiation Rules
- Limits Involving Trigonometric Functions
- Intuitive Approach to the derivative of y=sin(x)
- Derivative Rules for y=cos(x) and y=tan(x)
- Differentiating sin(x) from First Principles
- Special Limits Involving sin(x), x, and tan(x)
- Graphical Relationship Between sin(x), x, and tan(x), using Radian Measure
- Derivatives of y=sec(x), y=cot(x), y= csc(x)
- Differentiating Inverse Trigonometric Functions
- From First Principles
- Differentiating Exponential Functions with Calculators
- Differentiating Exponential Functions with Base e
- Differentiating Exponential Functions with Other Bases
- Differentiating Logarithmic Functions with Base e
- Differentiating Logarithmic Functions without Base e
- Overview of Different Functions
- Interpreting the Sign of the First Derivative (Increasing and Decreasing Functions)
- Identifying Stationary Points (Critical Points) for a Function
- Identifying Turning Points (Local Extrema) for a Function
- Classifying Critical Points and Extreme Values for a Function
- Mean Value Theorem for Continuous Functions
- Relationship between First and Second Derivatives of a Function
- Analyzing Concavity of a Function
- Notation for the Second Derivative
- Application of the Second Derivative (Acceleration)
- Determining Points of Inflection for a Function
- First Derivative Test vs Second Derivative Test for Local Extrema
- The special case of x⁴
- Critical Points of Inflection
- Examples of Curve Sketching
- Introduction
- Solving Optimization Problems
- Using the Tangent Line to Approximate Function Values
- Using Newton's Method to Approximate Solutions to Equations
- Using Implicit Differentiation to Solve Related Rates Problems
- Sigma Notation
- Integration: the Area Problem
- Formal Definition of the Definite Integral
- Definite and indefinite integrals
- Integrals of Polynomial functions
- Determining Basic Rates of Change Using Integrals
- Integrals of Trigonometric Functions
- Integrals of Exponential Functions
- Integrals of Rational Functions
- Basic Properties of Definite Integrals
- The Fundamental Theorem of Calculus
- Evaluating the Constant of Integration
- Integration by Substitution
- Integration by Parts
- Integration by Trigonometric Substitution
- Integral by Partial Fractions
- Symmetrical Areas
- Calculating Areas using Integrals
- Calculating Volume using Integrals
- Deriving Formulae Related to Circles using Integration
- Definite Integrals with Substitution
- RAM (Rectangle Approximation Method/Riemann Sum)
- Integration Using the Trapezoidal Rule
- Integration Using Simpson's Rule
- Analyzing Approximation Error
- Integration Using Euler's Method
- The Average Value of a Function
- Solving Separable Differential Equations
- Slope Fields
- Exponential Growth and Decay Models
- Logistic Growth Models
- Net Change: Motion on a Line
- Determining the Surface Area of a Solid of Revolution
- Determining the Length of a Curve
- Determining the Volume of a Solid of Revolution
- Determining Work and Fluid Force
- Introduction to Parametric Equations
- Derivative of Parametric Functions
- Determining the Length of a Parametric Curve (Parametric Form)
- Determining the Surface Area of a Solid of Revolution
- Determining the Volume of a Solid of Revolution
- Introduction to Polar Coordinates
- Determining the Slope and Tangent Lines for a Polar Curve
- Calculating Polar Areas
- Determining the Length of a Polar Curve
- Determining the Surface Area of a Solid of Revolution
- Determining the Volume of a Solid of Revolution
- Indeterminate Forms and de L'hospital's Rule
- Infinite Sequences
- Infinite Series
- Partial Sums of Infinite Series
- Geometric Series
- Harmonic Series
- Nth Term Test for Divergence of an Infinite Series
- Integral Test for Convergence of an Infinite Series
- Alternating Series Test (Leibniz's Theorem) for Convergence of an Infinite Series
- Direct Comparison Test for Convergence of an Infinite Series
- Limit Comparison Test for Convergence of an Infinite Series
- Ratio Test for Convergence of an Infinite Series
- Root Test for for Convergence of an Infinite Series
- Strategies to Test an Infinite Series for Convergence
- Introduction to Power Series
- Determining the Radius and Interval of Convergence for a Power Series
- Differentiating and Integrating Power Series
- Constructing a Taylor Series
- Constructing a Maclaurin Series
- Lagrange Form of the Remainder Term in a Taylor Series
- Applications of Power Series
- Power Series Representations of Functions
- Power Series and Exact Values of Numerical Series
- Power Series and Estimation of Integrals
- Power Series and Limits
- Product of Power Series
- Binomial Series
- Power Series Solutions of Differential Equations
- Integral by partial fractions #int (3x+5)/(x^3-x^2-x+1) dx#?
- How to differentiate wrt x the equation (x^2 +1)^1/2 ?
- What is the differential wrt x of 3^x lnx ?
- Find the coordinates of the points on the graph of y=3x^2-2x at which tangent line is parallel to the line y=10x?
- How to approach and solve this problem?
- What is dy/dx for 7x^3 + 4y = 3y^2 ?
- A body moves along x -axis and its position is given by x = 4.5t^3 - 9t^2 - 4t where x is in metres and t is in seconds? B find the velocity and acceleration at t =2t?
- Use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width). (Round your answers to three decimal places.?
- Solve if y=5sinx+ 3cosx show that y"+ y =0 !?
- How do you Differentiate square root of e to the power of square root of x?
- D d t [ 1 1 + t 2 ]?
- What is the constant #m#, if# y = e^(mx)# satisfies #(d^2y)/(dx^2) - 5dy/dx + 6y = 0# ?
- A farmer has 200 m of fencing with which he wishes to enclose a rectangular field.One side of the field can make use of a fence that already exists. What is the maximum area he can enclose?
- Write your question here... The radius of a circular disc is increasing at the rate of 0.5 cm/sec. Ar what rate is the area of the disc increasing when its radius is 6cm?
- Find the mass of an object which is in the form of a cuboid#[0,1]×[2,4]×[1,3]#.The density at any point #(x,y,z)# on the cuboid is given by #delta(x,y,z)=x^2+y^2+z^2# ?
- Consider the following function.? f(x) = (x + 3)^2/3
- Solve #x.dy/dx-y=2x^2y#?
- Find the function of the integral #y=2-1/sqrtx#?
- Prove that #lim_(x→0)xsin(2/x)=0# ?
- At which intervals is #y=x^2e^(1/x^2)# increasing?
- How can I solve this differential equation? x dy/dx+y=x^2y^2
- What's the derivative of cosx/tax???
- We have #f:RR#\{1,2}#->RR,f(x)=(m-x)/(x^2-3x+2)#.Which are values of #m# for which #f# has no extreme points?
- Integration of sec^2x/[(a/b)^2+tan^2x]?
- How does #e^(-x)(dy/dx)-e^(-x)y=e^(-x)cosx# simplify to #d/dx(ye^-x)=e^-xcosx#?
- What is a nonzero k that makes the function continuous at x=0? f(x) is #(tankx)/(x), x<0# and #3x+2k^2, x>=0#
- what is the Differentiation of (sec-1x)^2 ?
- How can I solve this differential equation?
- How can I solve this differential equation?
- Derivative: find a slope of tangent line=square root of 4-5x when x=-1 ?
- Evaluate the following. If the limit does not exist, explain why. No marks will be given if l'Hospital's rule is used? #lim_(x->-2) (|x^2-4|)/(2x^2 + 3x -2)#
- If #f(x,y)=x^2tan^(-1)(y/x)-y^2tan^(-1)(x/y),x ne 0,y ne 0# and if #f(x,y)=0, x=0=y#, prove that #(partial^2f)/(partialx partialy)=(x^2-y^2)/(x^2+y^2)#?
- Prove that the curve y=x^5+2x has no horizontal tangents. & What is the smallest slope that a line tangent to this curve can have?
- How can I solve this differential equation ?
- Check whether the function #f(x,y)={(6xy)/sqrt(x^2+y^2) " if " (x,y)≠(0,0), {0 if (x,y)=(0,0)# is continuous at the origin?
- Let #f(x,y)={(x²y)/(x⁴+y²), " if " x⁴+y²≠0, {0, " if " x=y=0#. Check whether #lim_((x,y)→(0,0))f(x,y) # exists or not?
- How do you find #\int _ { 2} ^ { 4} \frac { 1} { x ( \ln x + 3) ^ { 2} } d x#?
- How to find d/dx?
- Darivative of tan x raise to sin x?
- How do I differentiate# x^2(x-2)^6#?
- How to find d/dx ?
- Proof f'(x)sin-1x=1/√1+x^2?
- Help me solve f(x)=7arctan(2sin(3x)), f′(x)=?
- Find the derivative of the function?
- Can there exist #\sum _{n=1}^ \infty a_n# so that #\sum _{n=1} ^\infty cos(a_n)# converges?
- Solve this question? #int 1/sqrt(4x^2-9) dx#
- How do you find and classify the critical points of #f(x) = log(x^2+x)^2#?
- Can someone help me solve this? f(x)=arccos(2x+4)−sqrt[3-3x^2] find f′(x)?
- Did I get the right answer on this question?
- Find g’(9) where g(x)=(squareroot(x)+3)/(squareroot(x)-1) ?
- How to write the statement #S_1,S_2,S_3#? Thanks!
- Evaluate the integral of f(x,y,z)=x+z-3 over the cylinder bounded by x²+y²=1,z=0 and z=1?
- The derivative of cosec2x by the first principle?
- Find the derivative of y=cosh^-1{3-2x}?
- Which of following statements are true or false?Give reasons for your answers.(i)The function f, defined by f(x)=x^3-6x^2+16x-15,is increasing in RR.
- Evaluate integration tan power 8x sec power 4x dx?
- These statements are true or false?Please justify your answer.(i)#lim_(x→0)(1/(x²)-1/(sin²x))# is in #(0/0)# form.(ii)Domain of #f(x,y)=(xy)/(x⁴+y⁴)# is #R²#.
- Find derivative for y=3x^-4 -1/x^2?
- Solve Lim x-> 1 [{(e^x) - e} / {(x^50) - 1}] ??
- How to solve #int3/(1+x×1+x^2)#?
- This statement is true or false?Please justify your answer. #f(x,y)=sin((x²y)/(x³+y³))/(ln(x+y/x))# is a homogeneous function of degree 2.
- Find two level curves of the function #f(x,y)=(x+y)/(x-y),x≠y# and sketch them?
- Evaluate the following definite integral ?
- Exists some #x# for which #sum_{k=0}^oo [log(-x)]^-k# converges, and what is the sum?
- Derivatives of sinx +cosx ?
- Integral of cos^3x/✓sinx ?
- #y=a^(1/2) log (a) cos( x)# find #dy/dx# ?
- What is the ifferential equation of the family of hyperbolas: #x^2/a^2 + y^2/b^2 = 1#?
- Find derivative for y=(x^2-4)(x^2+6x-9)?
- How do you solve this integral?
- Lim (n+2)!+(n+1)!/(n+2)!+(n+1)! x→∞ What is the answer?
- How to solve d/dx{e^sinx(cos^2 x-sinx)???
- Related Rates?
- If #e^(xy)-y^2=e-4#, then at #x= 1/2# and #y= 2#, #dy/dx=#?
- Help with Integration for Calculus BC?
- What is the maclaurin series for f(x)=1/(1-x)^n (for positive integer n), and does it converge?
- For which values of #a# the function #f(x) = a^2x^3+3x# is growing on all the domain?
- Find the derivative f′(x) using the definition of the derivative. No marks will be given if the definition is not used.? f(x)=
- What are the mathematical steps to find the limit of COTx if x approaches to infinity by using l’Hospital’s Rule ?
- Given that f is a differentiable function with f(3)=1, f′(3)=2. Find h′(x) and h′(3) where h(x)=(x^2 f(x))/(6-5f(x))?
- Int(2x)/(x^2+6x+13) dx ?? USING partial fractions . Are you supposed to complete square? if so how??
- Show that the functions #f(x,y)=ln x-ln y # and #g(x,y)=(x^2+2y^2)/(2xy)# are functionally dependent?
- What is the integration of 1+x-x^2-x^3 dx??
- How to solve without the l'Hospital's rule? #lim_(x->0) (xcos^2(x))/(x+tan(3x))#
- If we want to approximate the value of #cos 20°# with a polynomial, what minimum degree must be the polynomial so that the error is less than #10^-3#?
- Integration of e^2x since dx?
- Derivate of the following: #y=5x^3+6x^2+2x+10#?
- How to solve for #inte^xcosxdx# ?
- How do you prove that the limit of (3n+2)/n is not 2 as x approaches infinity using the epsilon delta proof?
- Lim xapproaches to 0 (tanx)/(sin3x) Evaluate?
- Integrate : 1/√(cos^3xcos(x+a)) ?
- Differentiate and simplify!! please help??
- Differentiate the function. H(x) = (x + x^−1)^3 ?
- Differentiate the function. Y= √x(x-4) ?
- How do you evaluate #\int \frac { 1} { x \ln x) d x #?
- Determine the equation of the tangent line to the curve defined by #(2x^4)(4y^4)+6x^3+7y^2=2703# at the point #(2,−3)#?
- How to choose two numbers for which the sum of their square roots is minimal, knowing that the product of the two numbers is #a#?
- Find y' ?? please help
- How do I find inverse Laplace of ((1/(2S+3)^0.5)?
- Find without using hopital rule ?
- Find an equation of the tangent line to the curve f(x) = x-1/x that passes through the point (4,1)?
- What is the integral value of x÷(2x-1)^0.5 as X tends from 1 to 5?
- Integration of #1/(1+x^3)dx#?
- How do you solve this integral... integral with a lower bound of -2 and upper bound of 2 of 1/sqrt(4-x^2) ?
- How do I differentiate the following equations with roots?
- Find the solution of the equation #2x3+ex=0# using three iterations of Newton's method. Also solve the equation using the graphics calculator and compare your results.?
- Show that the curve (1+x^2)y=1-x has three points of inflection and that they lie on a straight line?
- #lim_(x->oo)x^3e^-sqrtxsin(1/x)#?
- This statement is true or false?Please give reasons for your answer. Rolle's Theorem is applicable for the function f,defined by f(x)=1+x^(2/3) in the interval [-1,1] ?
- If #x# is nearly equal to one, then find the approximate value of #{mx^m-nx^n}/{m-n}#?
- Integration of xyDx-(x^2+1)Dy=0?
- Integration of: #intdx/{(sinx+1)(3+sinx)}# ?
- How to integrate #sqrt(x^2+4x)dx# ?
- Examine whether lim_"x→0"e^(1/x)/e^(1/x)+1 exits or not?
- Use the given graph of f to find a number delta...?
- Integration of : #intdx/(3sinx-4cosx)^2# ?
- How to differentiate Cot^-1(1+x/1-x)?
- Find the area enclosed by the curve r=a(1-cosθ)?
- Integration of : #int(-1/2x+1/2)/(x^2 +1)dx# ?
- What is the interval where f(x)= 1/( x+2) -1 is increasing and decreasing?
- Find the intervals in #R# over which #∫(t+1)^3 e^t dt# from #-1# to #x# is decreasing?
- Prove that for every x>0,x/1+x^2<tan^-1<x?
- If f is continuous on (2,6) and f (5)=f (2)=7 and f (3)=9. What could be the value of f (4)?
- #\int\sqrt((4x) / (3x)) dx# ?
- What is the solution to the integral of 2cosx + 3sinx / cosx + sinx? Thanks
- #lim_(n->oo)(((2n-1)!!)/(2n!!)) #?
- Please can I get an answer to the integral of in(x)? Thanks
- How to solve for the differential equation? #sqrt(2xy)dy/dx=1#
- What's the derivative of y=arccot(α/x)?
- Differentiate and simply and find the equation. Please read the image and help ?!
- Differentiate and simplify please help ??
- What is the integral of cosx/(sin^2x + sinx)dx?
- What is the derivative of y = sin^4(tan 5x)?
- F(x)=e^0.5x when x<=0 and f(x)=-(x-h)2+k when x>0 find h and k such that f(x) is both continuous and smooth at x=0?
- How do you integrate #int_0^1 1/(1+(x)^(1/2)) dx# ?
- How to solve for dy/dx? #tany=e^x +lnx#
- What's the fourier series for the function #f(x)= {2 , (0, Pi) and -2 , (-Pi ,0)} # ?
- Is it true that #\sum_{n=1}^\infty a_n# converges (#a_n > 0# for every n) if and only if #\sum _{n=1}^\infty a_n^2 + a_n# converges?
- How do I do the second part of this implicit problem?
- Find limx→0 (1 − cos x)/(x)^2 given that limx→0 (sin x)/(x)= 1 ?
- What is the derivative of cos (3x)^2?
- What is the Derivitave of the integral of sin(t^3) from 0 to x^2?
- How do I find the surface area of the solid generated by revolving about the x axis: y=x^3, 0<=x<=1?
- Find two functions f(x) and g(x) such that limx→0 ?
- If the function f is continuous at a, then f is differentiable at a is true or false?
- How do you find the derivative of the function #R=3W^(2*pi)# at #W=7#?
- Integration of #sqrt(2+tan^2(x))#?
- How do I implicitly differentiate #x^3-xy^2+y^3=1#?
- Differentiate and simplify please help?
- Would you help me with this integration? #int ((sqrt(x^4+2+x^(-4)))/x^3)dx#
- Differentiate and simplify please help??
- Use the disk method to set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by x + 2y = 2, x=0 , and y=0 about the x axis?
- Determining the interval of convergence for a series?
- Sinx+ cosx dx /√1+sin2x?
- How to find an equation of the graph that passes through the point (9,1) and has a slope of #y'=y/(2x)#?
- Derivative of f(x)=6\sqrt(x)+5cos\theta ?
- Determine the values of x where the tangent line to f(x)=x^2 over x^2+x-2 how should i do it ?
- #lim_(x to 0) (x/sqrt(1-cos(x))) #?
- Integration of sec²(x/2) is 2 tan (x/2) Plzzz tell how this 2 in front of tan came ???
- How do you find the critical points of y=x(1-x)^4? I know I need to take the derivative and I guess that's where I'm stuck. I think it's a product and a chain rule?
- What is the derivative of ln(t2 +1)?
- Find #dy/dx# for #y=sinh^-1(1+x^2)#?
- Implicit Differentiation Question Help?
- #nabla (vec a times vec b)=vec b (nabla times vec a)-vec a (nabla times vec b)#? please solve this and explain step by step.
- Please read and help?! thanks
- Evaluate? lim (5/(t√(1+t))-5/t) t→0
- Derivate of xtanx???
- Can you please help me with this word problem?
- Help please... when do we use substitution during limits? please give me an example
- Maximize the value of the function A=7xy subject to x+3y=36?
- What is First derivative of cos x?
- Find the points where the function #-x+2xy+y^2=0# has a horizontal tangent line?
- Find y' ?? Help
- Integrate secx/(1+cosecx)dx ?
- If xsiny=sin(p+y),p∈R,show that sinpdy/dx+sin^2y=0?
- Prove that ∫√cos^n x dx/√cos^n x +√sin^n x from 0 to π/2=π/4.?
- How to find the turning points from these quadratic equations?
- Intigration of 1/1-Sin2x ?
- Verify that f,defined by f(x)=x^3+4x+1 on [1,5], satisfies Lagrange's mean value theorem.?
- Integerate #1/(x^2 + 1)^2# with partial fraction method?
- If 2x+y=10, find the minimum value of x^2+y^2?
- The function 3x^(3)+6x^(2)+6x+10 is maxima, minima or point of inflection?
- What is the derivative of -tanx?
- If #f(x)=[x/3], x in [0, 30]# where [.] denotes Greatest Integer Function , then the discontinuous points of these functions are #x=3, 6, 9, ..., 30#, i.e, when the given function is an integer.But why we did not take the number "0" as a discontinuous pt?
- How to expand in Maclaurin series this? #f(x)=int_0^xlog(1-t)/tdt#
- What is the answer of?
- How do you find the limit (X-> 0) ? thank you
- What is the General and Particular Solution?
- A curve for which the gradient function is dy/dx = x(2a - 4/x), where a is a constant, passes through the points (-1,3) and (2,-6). What is the equation of the curve?
- Find the integral of 1/(Cos(2x))^2dx?
- What is the limit of square root of (5 - x) as x approaches infinity?
- Integration of 1+tanx/x+log(sec(x))?
- What is the integral of sqrt(49-x^2)dx from [-7,7]?
- If #D=int_a^b(sin(kx)+2)dx# where #b=a+4# and #k# is unknown, then #D# must be greater than _____ and less than ______?
- Lim as x → (pi/2) from the left for cosxsec5x?
- If integral from 1 to 5 of f(x)dx=20, find integral from 5 to 1 of (f(x)-2)dx?
- How do I evaluate lim x approaches 0 of Sin8x/x?
- Show that any linear function #f(x) = ax + b# is a continuous function in any #x_o in ℝ# ?
- Find the volume of the solid that lies inside both of the spheres? #x^2 + y^2 + z^2 + 4x − 2y + 4z + 5 = 0# & #x^2 + y^2 + z^2 = 4#
- The point at which curve y=x^2-4x+3 has gradient -2?
- Prove that this converges to 0:#(prod_(k=1)^n(lambdak+a)/(lambdak+b)),0<=a<b,lambda>0,n=1,2,3......#?
- Calculate f prime for the following continuous function?
- What are other points of the function y=x^3+3x^2-x-3?
- Suppose #f'(x)=p sin(1/2x)# where #p# is a constant, #f(0)=1# and #f(2pi)=0#. Find p and hence find f(x).?
- Find the integral e^x+1/lne^x+x?
- How to calculate limit of trig function of 2-cosx/x^2-x given x approaching pi?
- What is the integration of #sec^2 x cos^2 (2x) dx#?
- How to calculate this? #int_0^1 log(1-x)/xdx#
- What s the answer of the following limit?
- What does #(x+sin(x))/(x+cos(x))# equal as limit #x-> "infinity"#?? Thank you!!!
- The derivate of f(sin x) w.r.t. x where f(x)=log x is: ?
- Double integration of #int_0^a int_0^(sqrt(a^2-x^2)) y^2sqrt(x^2+y^2)dy dx# in 0 to a and 0 to √(a2-x2) the limit?
- Mathematical induction question 1E plz I am stuck?
- #\lim _{n\to \infty }\sum _{i=1}^n\frac{3}{n}[(\frac{i}{n})^2+1]#.........??
- How to calculate sum of this? #sum_(n=1)^oo(-1)^n n(n-1)x^n#
- Using the quotient rule to find final answer?
- How do i find the answer using the quotient rule for this question?
- Find the function of #int(x^2+1)^3dx# ?
- How to integrate #int x^lnx# ?
- Integration of 1/s²+1?
- Evaluate the limit #\lim_{x\rightarrow 0^+}(1/tan(x))^{1/ln(x)}#?
- What is the derivative of xcosecx by first principle? Explanation please?
- Find the upper and lower estimates for the temperature? The given values are attached as a picture! Thanks.
- If f(x) =-(25-x^2)^1/2 then find limxtendsto1(f(x)-f(1))/x-1?
- Need help with this question?
- Find #dy/dx# of #y=(5-x)^3(4+x)^5#?
- Limit is from -1 to 4? Answer is 43/2
- What are the values for a & b that make f continuous? f(x)=#(x^2-4)/(x-2)# if #x<=2#; f(x)=#ax^2+bx+3# if 2<x<3; f(x)=2x-a+b if #x>=3#
- Using precise definitions of limits, prove that #lim_(x->0) f(x)# does not exist: #f(x) = { (1 " if " x " is rational"), (0 " if " x " is irrational") :}# ?
- Prove that integral of #sqrt(x^2+a^2)# is #x/2×(x^2+a^2)^(-1/2)+a^2/2×log|x+(x^2+a^2)^(-1/2)|+c#?
- Find the derivative of the function 2^(9-x^2)?
- Can someone help me solve this? Let F(x)=f(f(x)) and G(x)=(F(x))^2 and suppose that f(3)=5,f(5)=2,f′(5)=15,f′(3)=15 Find F′(3) and G′(3).
- Where is Rolle's Theorem true?
- What is the minimum area of a triangle formed by the x-axis and the y-axis and a line through the point (2,1)?
- What is the maximum area of a rectangle that can be inscribed in a semi-circle with the radius of 8cm?
- What are the values of a and b if f(x)=ax^2+b/x^3 has extreme value at (3,2)?
- How do you find the indefinite integral of the function #(1-sin^2(x))/sin^2(x)#? I am not sure what rules to use.
- Can someone help me solve this differentiation problem?
- The cost of fuel per km for a truck travelling at a speed v[km/h] is given by #C(v)=v/100+25/v#. (a) What speed result in the lowest fuel cost per km (b) Assume the driver is paid #$40/h#. What speed would give the lowest cost, including wage for 1000Km?
- #int xsinx²dx#?
- What is the least amount of material required to construct a square base box one of whose base is open and whose volume is 2700cm^3?
- Derivative of y=(tgx)^ctg x/2 is?
- How to find area of the function: f(x)=e^3, g(x)=x^3 , x=0 and x=1?
- X=a(t^2-1/t^2+1)^1/2 and y = at (t^2-1/t^2+1)1/2 find dy/dx?
- How do you prove lim x->0 1-cos2x/1-tan2x ,solution please?
- Urgent! Needs help with these questions?
- Urgent! Needs help with this question?
- If integral of 1/1+ sinx= tan(x/2+a)+b then what is the value of a ?
- Urgent! Needs help with these questions?
- Can someone help me solve this table? A table of values for f,g,f′, and g′ is given below. (a) If F(x)=f(f(x)), find F′(2). (b) If G(x)=g(g(x)), find G′(3).
- Urgent! Needs help with these questions?
- The value of Lim x->1 (x^5-3x+2)/x-1 is equal to?
- Find the equation of the line that is tangent to the graph of f and parallel to the given line? Function Line f(x)=2x^2 4x-y+4=0
- What is limit 1/(1-5^(1/x)) as x approaches to positive infinity ?
- Find the equation of the tangent line to the curve y=x^4+2 e^x at the point (0,2)?
- Can you determine the determinant below ? (Would have put it here, but system wouldn't take it -- determinant just a tiny bit too big.) ...
- #| ( (x-1)^4, (x-1)^3, (x-1)^2, (x-1), 1 ), ( (x-2)^4, (x-2)^3, (x-2)^2, (x-2), 1 ), ( (x-3)^4, (x-3)^3, (x-3)^2, (x-3), 1 ), ( (x-4)^4, (x-4)^3, (x-4)^2, (x-4), 1 ), ( (x-5)^4, (x-5)^3, (x-5)^2, (x-5), 1 ) | = # ?
- What is the correct option of the following question?
- What is the correct option of the following question?
- Using trigonometric substitution what is the integral of #intdx/(x^2sqrt(x^2-1)# ?
- Given #a = 1+sqrt2# find #lim_(x->0)((a+x)^a/a^(a+x))^(1/x)# Try not to use the L'Hopital method.?
- x= 4t^2/5t^2+6, y=t^3 find dy/dx=?
- D/dx(1/√x)?
- Find 2 coordinates of the points where the function has a horizontal tangent line? 2y^2+4x^2-y=16x
- What is the derivative of ?
- What will be the value of this? Integration secxd(sec x)
- Dy/dx = x+2y How to solve this?
- Derivative of #x^5(3-6x^-9)#?
- How to show #f(x)=|x|# It is differentiable everywhere except at the point x = 0 ?
- Differentiate Y=x(×^4+6)^3 Can anyone solve This?
- Help with Limits! This is my first time using this site? Limit is x->0
- Arc Length Problem?
- #(del^2Psi)/(delx^2) + (8pi^2m)/(h^2)(1/2mv^2)Psi = 0# Find #xmv# ?
- How to calculate sum of series:#sum_(n=0)^oor^nsin(nx) # and #sum_(n=0)^oor^ncos(nx)#? (i don't have specifications for #r#).
- Find an equation of the tangent line to the graph at the given point. ?
- Y=(cosx-sinx/cosx+sinx)differentiate it?
- How would I start this?
- Show that if #lim_(xrarrx_o) f(x) = 0# and #lim_(xrarrx_o) g(x) = 0# then #lim_(xrarrx_o) f(x)*g(x) = 0# ?
- What is the second derivative of x^2 + y^2 = 25 evaluated at (-3, -4)?
- Find the derivative of y=tan sqrt{3x-1} (see equation in details) using chain rule?
- What does (1+sinx/cosx) = when the limited is x approaches 0? Thank you!!
- A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=5-x^2. What are the dimensions of such a rectangle with the greatest possible area, rounded to the nearest 3 decimals?
- Help with integrals?
- Help with this calc question?
- #psi(x) = 1/(sqrt(2pibarh))intPhi(p)e^(1/hpx)dp# Is #Phi = e^(im_lphi)#?
- Which expression below gives the average rate of change of the function on the interval –3 ≤ x ≤ 5?
- A) Find the length of the arc of the hyperbolic spiral rθ = a lying between r = a and r = 2a ? (3)
- How do I solve this differential equation ?
- #int_2^3 (2x+1)/(x^3 - 5x^2 + 4x)dx#?
- Wat is the Integration tan^8× sec^4?.
- What does (x^3-a^3)/(x^4-a^4) equal when the limiting factor is x approaches a? Thank you!!!
- What is the integral of #int_1^edy/(y*sqrt(1+(lny)^2#? Evaluate the integrals using an appropriate substitution and then a trigonometric substitution.
- Use Newton's method to find all roots of given equation correct to 6 decimal places? 2 sin x=2 - x
- Integrate #int sin^4(x)dx#?
- #lim_(xto0)(4-x^2)/(5-x^2)#?
- Find an equation of the tangent line to the graph at the given point. ? (y-3)^2=4(x-5), (6,5)
- Hello! I need help solving f(x)= (x^2)/(2sqrtx+1) Using the quotient rule? I understand how to work the problem, however the 2x multiplied by 2sqrtx is tripping me up a bit. Any help is greatly appreciated! Thank you!
- Limit n tends to infinity ln (1/n)?
- What is the rate of change of y with respect to x?
- What is the limit?
- Where is Rolle's Theorem true?
- Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. ? xy = 24, (-6, -4)
- The line #y=2x + k#, where k is a constant, is a tangent to the curve #y= -1+2x -x^2#. Find (a) the value of k; (b) the coordinate of their point of contact.?
- What is the limit? #lim_(x to -oo) (x+2)/(sqrt(9x^2+1)#
- How to find the derivative?
- Differentiaitability of dy=(2x^2 + y -x^2 * y + xy - 2x - 2)dx ?
- Integration by parts?
- How do I find the value of c that makes the piecewise function continuous and how do I justify with the definition of continuity?
- Write the Riemann sum to find the area under the graph of the function f(x) = x2 from x = 1 to x = 5?
- #lim_(xto0)x/(sin3x)#?
- What would the f' and f" graphs look like?
- Which of the following must be true?
- What is the rate at which the area of the circle is changing?
- Differentiate x^2+Y^2?
- Solve the initial value y'-2xy=1,y(0)=y0?
- What is the integral from 0 to pi/2 of sin^0 xdx?
- The solution of differential equation dy/dx=1/x^2?
- Solve the differential equation y`=x(1+y^2)?
- Definite integral #int_0^(pi/8)cos^2(2x)dx# ?
- What is the derivative of y= √cos x?
- If f(x)= x^2 and h is not equal to zero, find f(1+h)-f(1)/h How do you solve this problem?
- Let a Be constant. Find the general solution of y'-ay=0?
- What values of x satisfy the Mean Value Theorem?
- What is #\int ( 4x ^ { 3} + \cos x ) d x#?
- Use geometry to evaluate the integral?
- What is the power series centered at 0 for the function: #f(x) = (ln((x^2)+1))/x^2#?
- #lim# # (x^3-5x)(2+cos(x/(x-1)))# #xto1 #Use an epsilon-delta argument prove limit does not exist?
- Hang Containers & Bro. is designing an open-top, square-based, rectangular box that will have a volume of 1024 cm3. What dimensions will minimize the surface area? What is the minimum surface area?
- What is the definition of inflection point? Or is it just not standarized like #0 in NN#?
- #f(x)=x^2-7x+3# find #lim_(h->0)(f(x+h)-f(x))/h#?
- Find the area of the largest rectangle having two vertices on the x axis and two more vertices above the x axis and on the parabola with equation y=9-x²?
- Limit of y approaching 1?
- #int(1-x^2)^(3/2)/x^6dx# ?
- Determine whether the series is convergent or divergent?
- Describe the solid that represents the integral?
- Differentiate and simplify! Please help!!?
- Evaluate the following?
- Differentiate and simplify!!! Please help?
- How do you integrate #int sqrt((9-w^2)/w^2)dw#?
- Please help me with the following question?
- Find d/dx?
- Find all points on the graph where the tangent line is horizontal?
- If the area under the curve of f(x) = 25 – x2 from x = –4 to x = 0 is estimated using four approximating rectangles and left endpoints, will the estimate be an underestimate or overestimate?
- Derivative of xtanx/secx+tanx =?
- What is the limit?
- Find the area between the curve of y = sin0 and the 0 axis from #0 = pi/2 to 0 = 3pi/2# ?
- Using graphs of #tan(x)# and #y=x#, what is the smallest positive value of #x# (in radians) such that #tanx=x#?
- Find the value ϕ(1) for a solution ϕ(x) to the initial value problem: #(1+2x)y′′+4xy′−4y=0; y(0)=1;y′(0)=−1# ?
- Please find the values for m and b such that function f is continuous and differentiable?
- What is the approximate value?
- I really need help with the following question?
- How to find radius and convergence interval series #sum_(n=1)^oo n^2x^(2n) #, and how to find the sum of a series #sum_(n=1)^oo n^2/3^n #?
- Suppose # s(x) # and # c(x) # are 2 functions where: 1) # s'(x) = c(x) # and # c'(x) = -s(x); # 2) # s(0) = 0 # and # c(0) = 1. # What can you say about the quantity: # \qquad [ s(x) ]^2 + [ c(x) ]^2 # ?
- How do I find which point this function is discontinuous?
- Find the dx/dy of x^2 arctan(x)? Thank you
- What is the third derivative?
- Test series for convergence/divergence. #sum3^n/(4^n+5^n)#?
- What is dy/dx?
- How do I find where the discontinuity?
- What is the y-intercept of the line tangent to the graph pf f at x=3?
- Differentiate function y=(1-2x^2)?
- (x^2+y^2)=xy differentiate?
- The Curve #y=ax^3+bx^2+cx+5# passes through the point #P (-1,4)# and at the point #P# the first and second derivatives of the curve are #8# and #-24# respectively. Find the values of the constants #a,b and c#?
- Lim x tends to 0 (2^sinx-1)/x=?
- The graph of h(x) is shown. The graph appears to be continuous at , where the definition changes. Show that h is in fact continuous at by finding the left and right limits and showing that the definition of continuity is met?
- Y=cosx+sinx/cosx-sinx to prove dy/dx=sec2(x+22/7)?
- Find the general solution of the differential equation? hence, find the particular solution if given that y=2 when x=1
- Does f(x) have a limit as x approaches 1?
- Implicit domain how to prove #dy/dx# = #-(sqrt(1-y^2))/(sqrt(1-x^2)# ?
- How do you test this series converge or diverge using integral test ?
- What is the limit?
- What is g'(9)?
- Area between curves?
- For what values of x is # f(x) = -x^3-9x # concave or convex?
- Use implicit differentiation to find dy/dx y^5 -x cos y + y^3 / x = 11 ?
- Where is a horizontal tangent?
- I was not able to type the question but please help me with this ??
- Differentiate and simplify ??
- What is the differentiation?
- What is f'(2.1)?
- What is the derivative?
- Find dy/dx for 2 + xy = x. Please show your work to receive credit?
- Can someone please help me with the following question?
- What is the limit as x approaches -2 from the right of the following equation?
- How do you find the derivative of y=ln(15/x) respect to x ?
- How do you evaluate #\int 5( 4- 3x ) ^ { 6} d x#?
- Find a General formula for f^(n) (x)?
- How do you find the equation of the tangent line f(x)=x^2+2x-1 at point (1,2)? Thanks!
- Does #sum_(n=2)^oo1/(nln(n))# converges ?
- Derivative of xsinx?
- Find the equation of the tangent line to the curve at the given point?
- What is the constant "a" such that the function is continuous everywhere?
- If #dy/dx# =#3x#+#2/x^2# and y=2 when #x#=1, find the function y?
- How do you integrate this? #int##sqrt(x-sqrt(x))/(x-1)#
- Why is Raoul correct?
- What is the end behavior of function g?
- How can we conclude that there is a number x between 2 and 3 such that q(x)=51?
- Using maclaurin's series, determine the terms of power series for ln(x+e powerx) as far as xpower3?
- Use maclaurins series to find power series of tan ax?
- Find the gradient of y=x^3?
- Find an equation for a plane through three points?
- Area between curves: which function do you subtract?
- How do you find the derivative of ?
- Could anyone help me with this please?
- What will be the solution of the mentioned problem????
- How do you evaluate #\int _ { 0} ^ { 1} ( x \sin ( x ) + \sin x ) d x#?
- Cos5x differentiate ?
- If f(x)= 12 + 2x^2 - 4x^4, use the second derivative test to identify the local maxima and minima?.
- Find the constant of integration #c# given that #f''(x)=2x# and the points #(1,0)# and #(0,5)# lie on the curve ?
- Find the constant of integration #c# given that #f'(x)=2cosx-3sinx# and #f(pi/4)=1/sqrt2#? i already solved it and im getting #c=-4/sqrt2# but the answer is #c=-2sqrt2#
- Help please?!
- Evaluate: integration of tan^-1√1-x/1+xdx ?
- (The function is cubed) How do you find a and b?
- Determine which of the following definite integral equals #lim_{n\to infty} \Sigma_{i=1}^n 1/nsqrt{i/n}#?
- What is the gradient function of f(x)=x^3+2x?. Is it g(x)=x3+2 or g(x)=((x+h)^3+2(x+h)-(x^3+2x)) /h
- Determine power series of #ln(1+e^x)# using Maclaurin Series as far as term #x^3#?
- What does derivative of y with respect to x mean?
- Using a crankshaft, a carpenter drills a hole, 1 cm in radius, through a wooden ball along a diameter. If the radius of the ball is 4 cm, what is the volume of wood remaining?
- How do I evaluate this definite integral?
- How to the derivative of h(x) = cox(sinx+sqrt(x))?
- Whats the integral of 1/1+cotz?
- Find the radius of curvature if x=a(cost-sint) y=(cost-sint)?
- F(x) = e^(-.2x)*cos(2x) + 2 true or false?
- Find the derivative of the expression for an unspecified differentiable f(x)?
- What are the answers to the limits?
- Definition of a Limit? (fill in the blank)
- What is the equation for the tangent line at x=3 when f(x)=1+x^(1/2) using the equation: f'(x)=lim(h to 0): [f(x+h)-f(x)]/h?? Thank you!!!
- What is k such that function f is continuous at x = 3?
- Differentiate the following #d/dx((3y)/(2x))#?
- What is the limit?
- Approximate the value #0.2# using the tangent line to #f(x)=e^x# at point #x=0#?
- How do you find the constants a and b?
- What are the constants "a" and "b"?
- Evaluate the limit as x approaches 1 of the quotient of the square root of the quantity x squared plus 3 minus 2 and the quantity x minus 1. You must show your work to receive credit?
- Help me to solve this problem of limit please?
- The normal to the curve at #y=asqrtx+bsqrtx# where a and b are constants is #4x+y=22# at the point where x=4 and how do you find a and b?
- Please help! The net profit in dollars per day for a small business owner is given by the equation f(x) = -0.1x^2 + 6 x + 1, where x is the number of employees he hires. If he hires the number of employees that will maximize his profit...?
- Whatb is differentiation of e^ax^2+b...?
- How do you solve the limit #(e^x−1)/x# as x approaches intinity, without l'Hospital's rule?
- Rotate the coordinate axes to remove the xy-term from x^2+4xy-2y^2-6=0 and name the conic?
- Why is the function not differentiable?
- Prove using the formal definition of a derivative that (f-g)'(x)= f'(x)-g'(x)?
- Where does g concave up?
- Given #int_0^3f(x)dx=6# and #int_0^2f(x)dx=5#. Find the value k when #int_3^2(f(x)-k)dx=5k#. How to do this question? Help needed
- If the tangent line to y = f(x) at (6, 4) passes through the point (0, 3), find f(6) and f '(6). what's f(6) and f'(6)?
- How do you show that if #y=sqrt(x+sqrt(x^2+1)#, then #y'=(sqrt(x+sqrt(x^2+1))/(2sqrt(x^2+1)))# ?
- A cylindrical jar, of radius 3 cm, contains water to a depth of 5 cm. The water is then poured at a steady rate into an inverted conical container with its axis vertical. ?
- How to find the auxillary equation and the final solution for #(d^2Phi)/(dphi^2) + BPhi = 0# assuming #Phi = e^(im_lphi)#?
- The differential equation is #(dphi)/dx+kphi=0# where #k=(8pi^2mE)/h^2#E,m,h are constants.Find what is #(h/(4pi))# If #m*v * x ~~(h/(4pi))#?
- What are the best ways to study calculus?
- Evaluate? #lim/(xrarr0)#(#1/(tsqrt(1+t))-1/t#)
- How to solve this? dy/d/x = xy^1/2; y(0) =0
- Can you help me find the indicated sum? Thanks!
- If #f(x)=g(x^6)/x^2# , and if g is a differentiable function, find an expression for #f''(x)# ?
- What is the derivative f'of the function f? f(x)=1+x^(1/2)
- Find #(dx/dy)_(x=1)# if #y=u^2-u^3+2u^4# and #u=x/(2x-1)# ?
- Evaluate? #lim/(xrarr0)##((2+h)^3-8)/h#
- Given that #int_1^3f(x)dx=3# and #int_3^6f(x)dx=5#, find: #int_1^3[f(x)+x]dx# ?
- General solution of y"'-y"+4y'-4=0 ?
- Use derivative to find vertex of coordinate? f(x)=-2x+12
- Help plz how to find the antiderivative of #y=e^x#???
- Can someone help please me solve this differentiation problem? It'd be appreciated.
- If abc=1,then summation of 1/(1+a+1/b)=?
- Another graph involving differentiation. This time I got j'(2) and j'(3) right, but I need help finding j'(1). Can someone help please?
- Integration of sin x^1/2/x^1/2=?
- How to prove limit as x approaches -oo of (-2x^5 + x^4 - 3) / (3x^2 - 7) = +oo ?
- How to find 1st principles of derivative #f(x)=x/(x-1)#??
- Let z=a+bi. what shape is region defined by |z|≦225 where a≦b? also, find the area of the region.
- Where does g concave up?
- Given that #int_0^3f(x)dx=6# and #int_0^2f(x)dx=5#. Show that #int_2^3f(x)dx#. How to do this?
- What is the derivative of #(5^xroot4(x^3))/(x^7(x+1)^2)#?
- I got stuck on this integral how do i take the integral on the left side?
- On what interval is h(x) concave down?
- What is lim x goes to zero of a where a is a number?
- What is the integration for cosecx?
- Please use the picture and answer part a,b, and c. I need help in how to find the domain of each of the function and interval(s) where they are continuous?
- Show that lim x->a (x^3/8-a^3/8)/(x^5/3-a^5/3)?
- Where the function f(x) = cotx + 4x is horizontal?
- What is the integral of 1 - cos(x)?
- What is the second derivative?
- How would you prove the Fundamental theorem of calculus?
- Can I get help with this derivatives/differentiation problem please?
- Find the points of inflection: #y=x^(1/3)(x-4)#?
- What the solution of Y'"-Y"+4Y'-4Y=0 ?
- What is the antiderivative of (t^2)/(t^2 + 1) dt from 1 to sq. rt. x?
- What is the rate of change?
- Lim x->0 tan^-1x/x solve?
- What is the area of the region bounded by y = x^3 + x, x = 2 and y = 0?
- What is the antiderivative of (dx)/(x sq. rt. (x^2 - 100))?
- Find the limit?
- What is the definite integral?
- Can you think of a different way?
- How do I find the second derivative of 4x^2 + 9y^2 = 36 by doing implicit differentiation?
- Using the integral integer, count the following.?
- If f(x)=sin(logx) and y=f(2x+3/3-2x) then dy/dx =?
- #d/dx[(1+1/x)^x]#?
- Differentiate ln(5x-3y^2)?
- How do you find the implicit differentiation of sqrt(x/y) = 10x?
- If #y=xsqrt(1-x^2) - sin^-1(sqrt(1-x^2))# prove that #(d^2y)/dx^2=-(2x)/sqrt(1-x^2)# ? Many thanks in advance
- Find the limit of f(x)?
- Is #f(x) =(x+2)^2+3x-3# concave or convex at #x=-2#?
- Where is the Mean Value Theorem true?
- How do you prove this is true using the identity (cos(x)-1)/x = 0 as x approaches 0?
- How to solve following limit?
- Integration of xtan^-1(1/x)dx?
- What is the antiderivative of 3^x dx?
- What is the antiderivative of (4)/sq.rt.(9 - x^2) dx?
- What are the critical values of #f(x)=e^(x^2)-x^2+xe^x-5x+6e^x#?
- If #dx/dy#= #u#, and #(d^2x)/dy^2 = v#, show that, #(d^2y)/dx^2=v/u^3#?
- How do you differentiate x^2√(1+x)?
- #int_0^50(x-abs(x))dx# how do I solve this?
- What is the limit of arctanx at +&- infinity?
- Is #f(x) = 8x^4+3x^3 + 4x^2+x-4# concave or convex at #x=11#?
- A curve is such that #dy/dx=4/sqrt((6-2x))# and #P(1,8)# is a point on the curve. 1. The normal to the curve at the point #P# meets the coordinate axes at #Q# and at #R#. Find the coordinates of the mid-point of #QR.# 2. Find the equation of the curve?
- Find the area enclosed by y=e^x ,y=x,x=0,x=1? And the answer for this question is e^-3/2
- Investigate monotonicity of function with definition using, pls can u help?
- Find the average value of the function #f(x) = 2/(1+x^2)# from #x = 0# to #x = 1/sqrt3#?
- #d/dx[(1/x)^x]=#?
- For a given function #f(x)=x^a/x^b#, is it correct to say that #f(0)=0,1or"undefined"# depending on the values of #a# and #b#?
- What will be the solution of this? Integration 0 to 1 dx/(e^x+e^-x)
- Differentiate 1+1/x^2?
- How would you find this integral using u substitution?
- How do you find the total area between the curve f(x)=sin 2x and g(x)=cos x, pi/6 ≤ x ≤ 5pi/6?
- How ca I find the limit of 1/[sqrt(x^2-x+1)+sqrt(x^2-x-1)] as x goes to infinity?
- I don't know if this answer to a log derative is right please check for me?
- If y=tanh^(-1)(2x/(1+x^2)) prove that d^2y/dx^2=4x/(1-x^2)^2 ? Many thanks in advance!
- What is the area bounded by the curves y=4x^2-25, y=0, x=-1, x=3.5? PS the area is not 54 or 60 I already tried.
- I am at a loss on how to start this derative problem? for calc
- For f(x)=x^4 the instantaneous rate of change is known to be -4 at x=-1. how to find the equation of the tangent line to the graph y=f(x) at the point with x coordinate -1?
- How can I find the limit of 6^x/5^(x+1)as x approaches infinity?
- How do you differentiate #x+1/x^3# from the first principle ?
- F(x) =2/x +x/2 is increasing or decreasing?
- Find the area lying inside the cadioid r=1+cosθ and outside the parabola r(1+cosθ)=1?
- Derivative Question help!?
- If the rate of change of x is 2 unit #s^-1#, Find the rate of change of y in #y=3/((2x-3)^3# when x=2?
- 1/(x²+2x+10)²dx?
- How to evaluate #int_0^(pi/4)x/cos(x)\ dx#?
- Find the limit of the following function as x approaches 2 from the right?
- Suppose f(x) & g(x) are continuous on [a,b] such that f(a) > g(a) and g(b) > f(b). What is the minimum number of solutions to f(x)=g(x) for x∈[a,b] ?
- Does anyone understand how to do these? #int_(pi/3)^(pi/2)(7sin^2x)/sqrt(1-cos(x)) dx# Thanks in advance :)
- Can anyone help to compute 3 integrals?
- Please read and help me with this problem ?
- What is the #lim_(x to 0^-) e^(2/x)#?
- How can you determine if #a_n=sin(((2n+1)pi)/2)# converges or diverges?
- Find the value of k so that f(x) is continuous for all positive numbers?
- Find the power series of (x^2)ln(3-x) using term by term differentiation?
- Results for 'Integral of((2+x)/(3+x)^2))e^x dx?
- How do you integral #int sqrtx/(sqrtx-3)dx#?
- How do you integral #int [secx(x)tan(x)]/(sec(x)-1)dx#?
- What is the integrate x^2*square root (4-x^2)?
- Help here, please?
- How to calculate the limit of #(ln2/2+ln3/3+...+lnn/n)/ln^2n# when #x->∞# ?
- If #sin^-1(x) +sin^-1(y)=pi/2#, then what will #dy/dx# be?
- If f(x)=log(1-x)/(1+x).then what will be the value of f'(0)?
- Calculate this integral #int_2^(2sqrt3)1/(x^2sqrt(x^2+4))dx =# ?
- Use the definition of the derivative at a point to find an eq for the tangent line to y= x^3 at the point (1,1) . No points for any other methods help??
- How can i resolve this limit? its to get the derivative of 2^x when x=2, using the table i know that its ln16 but i want to know the process. thanks
- A body fails from rest. If the resistance ot the air is proportional to the speed, and if the limiting speed is 160 ft/s, find the speed at the of 5 seconds? (differential equation application)
- The volume of a spherical balloon is increasing at a constant rate of #0.25m^3s^-1#. Find the rate at which the radius is increasing at the instant when the volume is #10m^3#?
- Find dy/dx if y=(sinx)^sinx ?
- #lim_(x->pi/2)((2x)/pi + cos x)^(1/cos x)#?
- If the rate of change of x is 2 unit #s^(-1)#, Find the rate of change of y in #y=x^3+2# when y=10?
- Integration of 3 to the power x *e to the power 2x=?
- What is the maximum volume of a box?
- Differetat the following from first principle #4x^3-3x+8#?
- Logarithmic differentiation of y^2 = lnxy ?
- A person 6 feet tall is walking away from a lamppost that is 15 ft tall at a rate of 6 ft/sec. At what rate is the end of the person's shadow moving away from the lamppost?
- Integtate (xe^4)?
- How do you determine whether #f(x)=x^2+sinx# is even, odd, or neither?
- How does one use trigonometric substitution to integrate (x^3)/sqrt(x^2+25) dx?
- If f(c) is an absolute maximum of a continuous function f, then f’(c) = 0. Is True or false?
- Lim 31/e^x as x tends to infinity?
- Removable and Nonremovable Discontinuities: Find x values (if any) at which f is not continuous? f(x)=3x-cosx Thank you!
- Find the values of #x# for which the tangent line to the graph of# y=1/4x^4-x^3+x^2# is horizontal ?
- Calculate f(x)?
- What is the derivative of f(x) = (x)(6^-2x)?
- The radius of a cylinder is decreasing at the rate of 4 ft/min, while the height is increasing at the rate of 2 ft/min. What is the rate of change of the volume when the radius is 2 feet and the height is 6 feet?
- How to solve this? #int#tanx#sqrt(sin^2x-sinx)#
- What is differentiation of #= e^lny#?? thank u
- How do I find this summation with an unknown variable at the end? 8+7+6...+(9-1n).
- What is true for the differentiable function?
- Integral 2x^3dx/(x^2 +1)^2 =ln(x^2 +1)+1/x^2 +1 +C? Thanksyou
- How can I evaluate this integral? (e^3x - 6/2x+1)dx
- Differentiation of (log x)^cosx + [x^2+1]/[x^2-1]=y?
- How would you differentiate this? y= cos(x-y)
- A rectangular piece canvass with dimensions 10m by 6m is used to make a pool.Equal sizes squares are to be cut from each corner and remaining will folded up around some plastic tubing.what is the dimension of the pool so the water volume is maximum?
- Simple integral: #int {-3x+5}/{x^2-2x+5}dx=?#
- Trigonometric Integrals with cosecant and cotangent?
- Determine if sinx/x have removable discontinuity and explain why or why not?
- Prove using the #epsilon-delta# method that #lim_(n->oo)= (2n)/(n^2+1) = 0# ?
- Q1) #dy/dx + cot(x)y = csc(x)# in homogenous ? (linear) Q2) #dy/dx + cot(x)y = cos(x)# in homogenous ?
- Determine the number at which the function discontinuous; then, justify and identify the type of discontinuity. remove discontinuities whenever possible. can u help me?
- F(x) = x+1/x a=1 then L(x) =?
- #lim_(x to 0) sin^5(x)/ (x^2+x) sin(x^4)# how should i solve it?
- #inte^(-st)sintdt# being s a constant greater than 0. Please someone explain me step by step?
- Does the series #sum_{n=1} ^oo (5)/(sqrt(2k-1)# converge or diverge?
- Solve the following differential equation? dy/dx= xe^x-2y ; y(0)=1
- What is the value of #lim_(x->0)(2^x-1-x)/x^2# without using L'Hopital's rule and expansion of series?
- What is the derivative of #f(x) = 3^(2x)/x#?
- Integration by part [x sin(x) cos(x) dx] = ?
- Dy/dx=18x2-14x+4, at x=3 ?
- Derivative of #tan^2(2x)=4tan2xsec^2(2x)# by principle rule?
- Let I= integral 1 to 0 9÷(3+x^2)^2 dx (i) Using the substitution x=(root 3) tan theta, show that I= (root 3) Integral 1÷6pie to 0 cos^2 theta dtheta. (ii) Hence find the exact value of I Can someone please solve this question?
- How to differentiate equation x^2 = y^3 with respect to t?
- How to define the limit # lim_(x->pi/2) [ 2xtan(x)-pi/cosx]# ?
- Integrate #x^3/sqrt((x^2+16))# dx using trig substitution?
- How do you find the derivative using the difference quotient f ( x ) = 1 / x + 2 ?
- Can you calculate the first and second derivative of #(x^3+1)/x^2# ?
- How to answer these question using differentiation ?
- Find the value (s)of c guaranteed by the mean value theorem for integrals for function over the given interval. F(x)=5-(1/x) ,[1,4] ?
- Find F'(x) for #F(x)=int_x^(x+2)(4t+1) dt# the key is : 8 ?
- This is the second of three derivative problems. Can someone please help solve it?
- How Do I find the difference quotient of f(x)=x^3-x?
- I REALLY need help with these derivative problems. I have done most of the work for 18 other problems, but do not understand how to solve these three. Can someone PLEASE help me? My work is due by midnight tonight.
- Can someone explain how to do this?
- Find average value of function over the given interval and all values of x in the interval for which the function equals its average value #f(x)=2e^x,[-1,1]#? thanks
- Help with this question?
- A circle is growing so that the radius is increasing at the rate of 5 cm/min. How fast is the area of the circle changing at the instant the radius is 20 cm? Include units in your answer.
- Ax square + b upon x solve by first principle?
- How do you show that the Mean Value theorem applies to #f(x) = xsqrt(6-x)# on the interval #[0,6]#, and find a value of #c# guaranteed by this theorem?
- How do you integrate #\int \frac { 5x - 3} { x ^ { 2} + 5x + 6} dx#?
- How to differentiate with respect to x of 1+cosx /x×sinx ?
- How do you find #\lim _ { x \rightarrow 7} \frac { x ^ { 3} - 343} { x - 7}#?
- U-substitution: integral of e^(24x)/(1+e^(8x))?
- Find derivative of cot(xy)=x?
- Can I get help with this calculus problem? Let f(x)=2+4x. Find f′(x). f′(x)= Find the slope of the tangent line at x=4. Slope = f′(4)= Picture included for reference.
- Please solve the integration?
- Lim x-1 sin-x ?
- How do you express a Riemann Sum as an integral?
- Differentiate log x^sin x with respect to cos x ?
- Question about inverse function ?
- What kind of ordinary differential equation is y^2dx+(xy+1)dy=0? Please give the solution.
- What is limit of (((1+x)^b)-1)/x when x tends to 0?
- What is the limit of sin2x/2x^2+x as x approaches zero?
- What kind of ordinary differential equation is (x^2y+2y)dx+xdy=0? please prove? Thanks
- Calculate Lim x—›∞ (x²-7x+10)/|x²-4|?
- Consider the function #f(x) = 1/x# on the interval #[4, 11]# and answer the following?
- Can someone explain this?
- If Y=a^x, show that dy/dx=a^xlina? Thanks
- What is the derivative of cos5x by first principle?
- Derivative of #tan^2(2x+3)# by first principle?
- Sum to infinity of 2n/(n+1)! ??
- What is the integral nalue of #n# for which #lim_(x->0)[cos^2x-cosx-e^xcosx+e^x-x^3/3]/x^n# is a finite non-zero number?
- #int[(x^2-1)/(x^2+1)(x^4-1)^(1/2)] dx# please solve?
- Use the difference quotient to estimate the instantaneous rate of change in f(x)=#x^2# at x=3?
- What is the average rate of change for f(x) = x2 − 8x + 15 from x = −3 to x = 2?
- How do I antidifferentiate from acceleration to velocity?
- Sum ((n^n)/(n!*3^n)) from n=0 to infinity ??
- lim[cos(πx/2) / cos(1/x)]=π/2? X-1
- What is the solution for dy/dx=-ky/(k+y)?
- Find the derivative of #f(x)=log(sin(x))# using the first principle?
- How to express this limit as definite integral?
- Use the difference quotient to estimate the instantaneous rate of change in f(x)=#x^2# at x=3?
- Why do you say #y=x^2# decreases on the interval #(-oo, 0]#? Why is #0# included?
- Find the antiderivative of ..?
- Using slicing method find the valume of a solid ball of radius a?
- Evaluate (d/dx)(e^((3x^2)+3x))?
- If F(x) is continuous and #int_0^9f(x)dx=3#, find #int_0^3xf(x^2)dx# ???
- What is tne limit as x aproaches 0 from the left (-3(cos2x)^2+(sinx)^2+3)^(1/2))/|x| ?
- What is the limit of ? lim x²-18x/ x+ 5 x is infinity
- Find the antiderivative of ..?
- The nature and critical points of 3 cos x?
- Find the equation of the tangent line to the curve #y=x^4+2 e^x# at the point #(0,2)#.?
- Find the linear approximation of f(x)=ln x at x=1 and use it to estimate ln(1.19 )?
- How do you determine whether f ( x ) = e^-x^2 is even, odd, or neither?
- Determine two distinct functions f(x) and g(x) that have the same average rate of change over the interval #0 lexle2#? Show the average rate of change for each.
- What is the derivative of (ln x)^3?
- What is the derivative of x^(10x)?
- What is the maximum rate of change of f(x,y) = ln(x^2 + y^2) at the point (-1, 1) and the direction in which it occurs?
- Estimate the instantaneous rate of change in the area of a circle when the radius is 3cm? The formula for the area of a circle is A=#pir^2#.
- Can someone help me with this limit problem? It involves definition of a limit/values of epsilon and delta. The problem is in the attachment.
- So I've started working with limit problems that require epsilon-delta proofs to solve them. Can someone explain how to solve these two problems please? Thank you, and problems are included in the attachments.
- Limit of (ax^2-b)/(x-2)=4 as x approaches to 2 find the value of a and b?
- Show that #lim_(x to +oo)f'(x)=0# ?
- The voltage of a certain thermocouple as a function of the temperature is given by E = 2.800T + 0.006#(T∧2)#. If the temperature is increasing at the rate of 1.00°C/min,how fast is the voltage increasing when T=100°C?
- U(n+2)-2cosθu(n+1)+u(n)=0 knowing that u(0)=u(1)=1 what is the form of u(n) ?
- How do you find the #lim_(x to 0)[(1+2x)^1/2-1]/abs(x)# ?
- How do you integrate #\int _ { 1} ^ { 16} \frac { t + 1} { \sqrt { t } } d t#?
- What is #\lim _ { n \rightarrow 0} \frac { n ( 2^ { x } - 1) } { 1- \cos x }#?
- Differentiate #f(x) = lnabs(x/(1+x^2))#?
- Help with these 2 please?
- How do you find the taylor series of f(x) = #sqrt(x# centered at 16?
- How to find limit of #((|x-3|(2x-3))/(2x²-5x-3)) #as #|x|# aproaches #+oo#?
- Find derivative of #sqrt((1+tan x)/( 1-tan x ))#with respect to x ?
- Y=pcos2x+qsin2x where p&q are constant show that d^2y/dx^2+4y=0?
- Which points on the graph of #y=5-x^2# are closest to the point #(0,1)#?
- Evaluate the definite integral.?
- What is the Maclaurin series of #e^(3x)cosx#?
- How do you integrate (t^2)ln(t) using integration by parts?
- Pg 24, q48. Please help how to solve the problem? Thanks
- Let #P_n=a^(P_(n-1))-1, AAn=2, 3, ...,# and let #P_1=a^x-1#, where a#inR^+#. Then what is the value of #lim_(x->0)P_n/x#?
- Linearization problem (without a value)?
- Pg24, q40. How do I figure this out? Thanks :)
- Can you solve this distributional limit?
- Evaluate the limit of sine x over 1 plus cos x, where x approaches to 0?
- Let #f(x)# the square root of #x-2#. What is #f'(6)#?
- What is the derivative of sin^4(tan5x)?
- What is the value of #lim_(x->0)x/log_a(1+x)# ?
- How do you find #-\int \cos ( e ^ { u } ) e ^ { 4} d u#?
- Prove by induction: d^2n/dx^2n (xsinsx)=(-1)^n (xsins-2ncosx)?
- Solve the differential equation #(x^2 + y^2) dx + (x^2 - xy) dy =0# ?
- Evaluate #lim_(x->0)(sinx/x)^(sinx/(x-sinx))# ?
- Differentiate the following expressions to find #dy/dx#?
- #lim_(x->0)(tanx-x)/x^3#, its not allowed to use lhopital?
- What is the effect of changing the value of A on the graph of y=Axe^(-bx) ?
- What is the limit of f(x)=x/|x| as x approaches 0?
- Derivative of f(t)=t^(3/2) log2 sqrt t+1?
- What is the derivative of #f(x)= ln((x-1)/x^3)# by applying the properties of logarithms?
- How to solve this integral? I solved it and got -ln(2)+ln(5/4).
- Find the area that lies inside the cardioid #r_1=1-cos(theta)# and outside the circle #r_2=1#?
- How do you find the area of the region bounded above by y=2cosx and below by y=secx,-π/4≤x≤π/4?
- How do you integrate #\int \frac{ d x } { 9x ^ { 2} - 16} #?
- The parametric equations of a curve are x=tan2θ and y=cot2θ.find the equations of the tangent and the normal to the curve at the point where θ=pi/6?
- What is the derivative of cos^4(x) + cos (x^4)?
- If the limit of f(x) as x tends to a = L and the limit of g(x) as x tends to a =M Proof that, lim[f(x)-g(x)] as x tends to a = L-M?
- How do you find the rate of change of the angle between the top of the ladder and the house when the top of the ladder is 12 ft up the side of the house?
- If the derivative is 4x^3 - 9x what is the critical value?
- Find the point on the curve for the tangent?
- Decide whether Rolle's Theorem can be applied to f(x) = x^2 − 3 on the interval [–2, 2]. If Rolle's Theorem can be applied, find all value(s) of c in the interval such that f '(c) = 0?
- How do you find the integral of ∫ dx/(1-x)^2 from negative infinity to 0?
- Give an example, with justification, of a periodic function which is not even.?
- Limit x→1(2-x)^tan(pi/2)x ?
- Find the length of the curve y=ln e^x-1/e^x+1 from x=1 to x=2?
- Find the maxima and minima, if any, for the function f given by f(x)=x^4-14x^2+24x+6. Also find the values of the function at those points.?
- How to show that the sequence defined by #a_1=sqrt2,a_(n+1)=sqrt(2+a_n)# is increasing and bounded by 3. How to find the limit?
- Evaluate integral of #(lnx)^lnx[1/x+ln(lnx)/x]dx#?
- How do you integral #int (x^2+3x+7)/sqrtxdx# ?
- Integral xy d(xy)?
- Y=log{(1+x^2)/(1-x^2)} diff. w.r.t x?
- Please Integrate the ∫(x^2+1)/(2x+1)(x-1)(x+1) dx?
- Use l'Hopital's rule to compute the following limit? #lim_(x->pi/2)(pi/2 - x)tan(x)#
- Absolute Maximum?
- How to calculate this integral #int_-2^2 f(x)dx#?
- How to calculate the integral of 2-sinx/2+sinx?
- How can I find the integral of cosx/sinx+cosx?
- What is a Taylor expansion of #e^(-2x)# centered at #x=0#?
- How to calculate Limit [Sqrt[1 + x^2]*Sin[1/x], x -> Infinity]?
- Integration by parts for definite integrals?
- Does the function: ln((1-x)/(1+x)) has symmetry?
- What is the value of #lim_(n->oo)sum_(r=1)^n({r^2x})/n^3# , if #{.}# denotes the fractional part of the function?
- How do you differentiate 4/(2x-1)? Need quick answer!
- What is derivative of tan^2(x)?
- If #lim_(x->0)(1/x^3)(1/sqrt(1+x)-(1+ax)/(1+bx))# exist, find the values of a, b. How can i solve this?
- Differential Equations Problems 5/c ?
- How to solve : #dy/dx +1 = e^(x+y)# ?
- Let f(x)= (5)/(9x^3)+(1)/(8x^5) evaluate?
- Differentiation of #y=e^(x+y)#?
- How do I find small changes?
- What is the expansion of #e^(-x)#?
- How do you use partial fractions to find the integral ?
- Could anyone explain me how this is #pi#/4? I'm not getting the point.
- How do I find small percentage changes (differentiation)?
- Integrate the ∫1/x^2-6x+11 dx from -5 to 5?
- How do you describe the interval(s) on which the function is continuous, using interval notation?
- Help fin d the anwser?
- Find the limit?
- Help find answer 18?
- Cos^2xsin^5xdx?
- Choose the limit?
- How do you use the limit process to find the area of the region between the graph of the function and the x axis over the given interval? Y=3x-4 [2,5]
- Help me with this calc problem please?
- What is #lim_(x to pi) (sin3x)/(sin2x) #?
- Finding the value of constant k as x approaches infinity?
- How to separate variable equation #dy/dx = (xy+x)^(2/3) #?
- How can I find the derivative of: #e^(-1)cosy+e^ysinx=0#?
- How do i know if this claim is ture? #{v_1,...,v_n}# base of # V# and #T:V→V# follows:#T_{v_1}=0#, #T_{v_i}=v_(i−1)# #(2≤i≤n)#, so there exists #T^k=0# in #1≤k<n#?(quite urgent)
- How do you solve #lim_x->pi/4 (tanx-cotx)/(x-pi/4)# ?
- A curve has equation #y=k/x#. Given that the gradient of the curve is #-3# when #x=2#. Find the value of constant #k. #?
- Find the equation of the tangent line to the function at a given point f(x)=e^-3x+1 ; (0,e)?
- Limit h tends to 0×h{a^3+(a+h)^3+(a+2h)^3+.......+(a+(n-1)h)^3}?
- How do evaluate the (int_1^e) ((x^2+x+1)/x)?
- What is the logistic equation that satisfies the initial condition of (0,4) where the logistic differential equation is #dy/dt=y(1-y/36)#?
- How to solve lim when x tends to 1 of ln(x+1/x-1)?
- What is #lim_"x->0" ln|1/x| # ?
- Only answer needed..?
- How to you find the general solution of y'+(x+2)^2=2?
- Please use the picture and answer part a,b, and c. I need help in how to find the domain of each of the function and interval(s) where they are continuous?
- anti-derivative of y=2^-x ?
- Integral from 0 to b of (49 - x^2) dx = 343/3?
- How do you integrate #\int _ { 0} ^ { 2} ( \sqrt { x } - x + 2) d x#?
- How to solve that with squeeze theorem?
- (Please answer) F'(x)= 3x^3 -12x^2, then the x-coordinates of the inflextion point(s) is?
- Help me to find the integration of #int_0^2 x*sqrt(2x-x^2)dx# ?
- If f(x) = 5 x + 8, find the instantaneous rate of change of f( x ) at x=-7 ?
- How to solve this integral ?
- Can someone help me with these two continuous function problems? Information is in the pictures.
- Let f(x)= (5/9x^3)+(1/8x^5). evaluate ?
- How do I solve this?
- What is the equation of the tangent and normal line of the graph of the given function at the given point? x^2+y^2-3x-8y+18=0 at (1,4)
- Lim (1 - cos2x)^(1/2)/(2)^(1/2)x =? X-0
- Given that,#y=sqrt(4x-7)-2/3(x-4)#, find dy/dx and show that. Hence find the maximum point of the curve?
- How to solve this problem?
- Sketch and determine the turning points of the curve y=12-12x+12x^2?
- Given that,#y=sqrt(4x-7)-2/3(x-4)# find #dy/dx# and show that#(d^2y)/dx^2=(-4)/((4x-7)sqrt(4x-7)#. Hence find the maximum point of the curve?
- How do you find the derivative of the given function?
- #int(x^2+x+2)/{(x-1)(x-2)}dx# with respect to x ?
- Please tell me how to proceed with these kind of integrals ?
- What is the exact surface area of an ellipsoid?
- Let y=f(x) be a continuous function defined on the closed interval [0,b] with the property that 0<f(x)<b for all x in [0,b]. Show that there exists a point c in (0,b) with the property that f(c)=c. How would set this up?
- The triangle A with coordinates (3,2) (5,4) (7,4) can be mapped on to triangle D with a transformation matrix P. Find coordinates of D?
- Investigate whether f(x)=1+|x-1|satisfy the mean value theorem?
- An equation of the line is normal to the graph of #y=sqrt(3x^2+2x)# at #(2,4)# is?
- Let #f(x) = 5 + 3 x^2#. If h cannot equal 0, then the difference quotient can be simplified as (f(x+h)-f(x))/h = Ah + Bx + C,?
- Please show how you did each?
- Let f(x) = x + #sqrt(x)#?
- Let f(x) = -2 x + 5 x^2. Then the expression (f(x+h)-f(x))/h?
- Plz help Solve for x?
- How can I sketch the graph of a function such that f’(x) does not exist and the limit of f’(x)=+ infinity while x1 —> x ?
- #lim_(x->-1)(cos^2(x)-cos(2x))/(x^2-abs(x))#?
- Given that y=cos2x/(1+sin2x) Show that (d^2y/dx^2)+2y (dy/dx)=0?
- How to find the derivative of f(z) = -(1/z^6.1) ? Thank you :)
- #lim_(x rarr 1) (x^3+x)/(x(x-1))# ?
- Lim x approach to infinty y =xln(x+1)/(x-1)? Solve it.
- Evaluate the following limit. If the answer is positive infinite, type "I"; if negative infinite, type "N"; and if it does not exist, type "D". lim x->infinity tan^-1(x^2-x^4)?
- EvAluate lim x->a √x-√a/x-a?
- Differentation of sin root x ?
- The tangent to #y=x^2e^x# at #x=1# cuts the #x# and #y#-axes at #A# and #B# respectively. Find the coordinates of #A# and #B#.?
- Differentiate Y=2x+1 / x+1 ?
- Differenciate Y=2tan^5x?
- Lim x-> infinity 7/((e^x)+2) evaluate ?
- How do I evaluate the following indefinite integral by using integration by parts? #int(7lnx)/x^3dx#
- Find dy/dx by implicit differentiation for x + 2y = xy?
- How do I evaluate the following integral by parts? #intx^9cos(x^5)dx#
- Find the values of m and b that make the following function differentiable?
- How do I differentiate #50sum_(i=1)^x(1.03^i)#?
- Y=7xe^x2 help me diffrentiate?
- How do you evaluate #5\sum _ { p = 3} ^ { 9} ( 4p ^ { 2} - 2)#?
- Find the coordinates of the turning point of the curve y=8x+(1/2x^2) and determine whether this point is a maximum or minimum point?
- What is total area between f(x)=x^3-3x^2+2 and the x-axis from 0 to 2? you may want to use the fact that f(x)=0 at x=0, x=1, and x=2
- Solve #(y−4x−1)^2dx−dy=0#?
- How do I evaluate this limit using Limit Laws?
- The function y=x^2-3x has area bounded by the curve, its x-intercpets, and the bound of k. The value of k such that area 1 is equal to area 2 is what?
- In(x/x^2+1) diffrentiate?
- #int 1/((x-1)^(1/2) *(x-2)^(1/2)) dx# = ?
- How do you evaluate sqrt(64 + x^2)/x?
- Show that #|c|<1# ?
- How to calculate area between #y_1=x^2-3x+2# and #y_2=-x^2+x+2#?
- The average temperature by month in Nashville is represented by the function #f(x)= -1.4x^2+19x+1.7# where x is the month find the average rate of change from August?
- How do you find the angles t on [0, 2*pi) where the given curve, r(t) = 24 + 17 * sin(t) got a horizontal tangent?
- How do you integrate 1/(1-x)sqrtx^2-2x+2 ?
- What's the Maclaurin developpement for f(x) = ln(1-2x) ?
- Definite integral?
- What is a real-world optimization problem solvable using Taylor Series?
- Limit((sin2x)/(√(1-cosx)) x-->0+ ?
- How to solve this limit? lim (1 - 2 cosx)/sin(x - pi/3) x → π/3
- Given the function #g(x) = x^2+10x+23#, what is the average rate of change of the function over the interval #-8<=x<=-4#?
- Evaluate analytically: #lim_(h->0) ((x+h)^(1/3) - x^(1/3)) / h# Do you multiply it by the conjugate? I'm not getting the right answer when I do
- A fence #8 ft# tall runs parallel to a tall building at a distance of #4 ft# from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
- Find the derivative of f(x)=cos(x3)?
- Is #f(x) =(x-2)^3+x-3# concave or convex at #x=11#?
- I need help reading this graph, and finding the required limits. Can anyone help me please?
- I am not sure what is the result of the following limit?
- A plane is flying directly away from you at 500mph at an altitude of 3miles. How fast is the plane difference from you increasing at the moment when the plane is flying over a point on the ground 4miles from you?
- How do you differentiate #y=arcsin(x)#?
- How do i find the average rate of change of f(x)=2x2+3 between the points (3,21) and (6,75) ?
- Evaluate using power series #int_0^1 xtan^-1 x# dx to 4 decimal places?
- Use differentials to approximate the maximum error possible in calculating the volume of the sphere? What is the percentage error in calculating the volume of the sphere?
- Differential of 1/√1+x^2 ?
- Differential of #1/sqrt(1+x^2)#?
- How do you solve this integral? #int x^2/(1-x^2)^3 dx#
- If the tangent at P on the curve x^m.y^n=a^m+n meets the axes at A and B then PA:PB is equal to ?
- How do you find the equation of the tangent line to the curve at #(81, 9)# of #y=sqrtx#?
- How can I solve? #y= 6cos2x# find #y^((6))#
- How can i proof this inequality with the mean value theorem ? #sqrt(1+x)<=1+x/2# for #x>=0#
- For what non-zero value of a does the definite integral ∫(x^4−1)dx have a value equal to zero? lower limit is -a and upper limit is a?
- A walkway is to be constructed in the shape of a sine function. The top curve is defined by y=sinx + 2 and the bottom curve is defined by y=sinx + 1. The horizontal length of the walkway is 2π metres. What is the area of the driveway?
- Differentiate #y=xsinh^(-1)(x/3)-sqrt(9+x^2)#?
- How do I find the answer?
- #lim_(x->theta)theta(sin^2 theta)#?
- Find the value of #(dr)/dt# at #t=0# if #r=(theta^2 +7)^(1/3)# and #theta^2t + theta =1#?
- Find the limit of the function?
- May I know the examples of daily life that related to functions, limits, differentiation and integration? thank you
- Need help diffrenting trig problems In(x^2(3x-1))?
- How do you find the limit of [x / (e^(-1/x))} as x approaches 0 ?
- The population P(t) of a species satisfies the logistic differential equation dp/dt=P{2-(P/5000)}, where initial population P(0)=3000 and t is the time in years. What is the limit P(t) as t tends to infinity?
- Nth derivative of #x^(2n)#?
- How do I solve this limit?
- What is the limit of ln(x-7) as x approaches 7 from the right?
- limit of (e^x -1)/2x as x tends to 0?
- What is the derivative of 3x² using first principle?
- Find and simplify the difference quotient?
- How do you find the tangent lines of parametric curves?
- What is the integral of sine x dx?
- Given that v=(sin u)^1/2 Show that 4v^3 (d^2v/du^2)+v^4+1=0?
- How to differentiate ln （sin ^2 3x) ? Thank you
- What is the power series representation of #1/(16-x)^(1/4)# and how do I find it?
- Test #f# for concavity?
- An open box has a square base and a volume of 4.0 m^3 The sheet metal costs $5 per square metre for the base and $3 per square metre for the sides......... What is the minimum cost of construction of the box?
- How do I? Int( dx / sqrt(-x^2 -8x) )
- D ^ 2y / dx ^ 2-9y = 0?
- Problem? Int( 3cosx / (1 + sin^2x) )dx From -pi/2 to pi/2
- How do you differentiate f(x)=1/(7-3x+x³)³ by using chain rule?
- How do you differentiate f(x)=logx/x³ by using quotient?
- Evaluate the trig integral?
- Find #dy/dx# in this equation #y=sin(x^(lnx))+sin^(2)(cos^(-1)x)#?
- Show the curve with equation does not have any horizontal tangents. for horizontal tangents make y=0 for y' means y'=0?
- Can someone tell me where my error is in finding the derivative of #y=x^(lnx)#?
- Why is this not right? Int( 1/(-x^2 - 8x) )dx = arcsin( sqrt(8x)/-x )
- Determine the values of a and b so that the function f(x)=x^2+ax+b has a minimum at (3,9)?
- Evaluate ∫ cot 2x dx ?
- Expanding e^(-x) in powers of x ?
- Find the area in the first quadrant bounded by the arc of the circle described by the polar equation r = 2 sin θ + 4 cos θ. The circle is graphed in the accompanying figure? A. 5 π + 8 B. 5 π C. 5π/2 D. 5π/2 + 4
- How do i know what is the radius of convergence of #\sum_{n=2}^infty \frac{(1-x)^{5n}}{n*ln(n)*5^n}#?
- How do you find the derivative of #y= 4\sin ( 5x ^ { 4} - 3)#?
- How do you use spherical Bessel functions of the first and second kind to solve the following ordinary differential equation?
- Evaluate ∫ sin 4x cos^2 4x dx ?
- A ball is tossed up from a tower 50m above the ground. If the ball has an initial velocity of 30mm/s. how long will it take to hit the ground if a=-9.8m/s^2.?
- How do you integrate sec(x+pi/2)*tan(x+pi/2)dx ?
- I don't get my mistake on how to solve #2int (1)/(x^2-x+1)dx#, can you help me?
- What is the integral of 1/secxtanx?
- How to find hundredth derivative of p(x) = #((x+x^4+x^7)^10)((1+x^3)^10)(x^3+x^4+x^8)#?
- Does the series #sum_{n=1} ^oo (2)/(n^2sqrtn)# converge or diverge?
- How would I find the slope of the graph for this problem? g(x)=(4)/(x-6) at the point (7,4).
- Explain why both y=x-3 and y=x+2 can both be considered solutions to the differential equation dy/dx-1 = 0?
- How do you differentiate f(x)=sqrt(x²+1) by using first principle?
- What s the limit of ... when x->0? (without using the l'hopital rule)
- D/dx log(cos5x)=?
- Calculate dy/dx when y = (x2 + 2)e 4x as the derivative of a product, letting u = x2 + 2 and v = e4x . Which of the following is a step in your solution? A. dv/dx = 4xe3x B. du/dx = 2x + 2 C. dv/dx = 4xe4x D. du/dx = 2x
- Wire of length 20m is divided into two pieces and the pieces are bent into a square and a circle. How should this be done in order to minimize the sum of their areas? Round your answer to the nearest hundredth?
- What is the intervals convex and concave, and domain this function #f(x)=(x+sinx)# ?
- How can i show that(or disprove) #f(x)=\sum_{n=1} ^\inftyarctan(\frac{2x}{x^2+n^3})# is continuous in R? (difficult)
- A light on the ground is 30 feet away from a building. A 4 foot man is walking from the light to the building at a rate of 3 feet per second and is casting a shadow on the building. At what rate is his shadow shrinking when he is 5 feet from the building?
- How do you evaluate the limit: lim --> infinity at #(9x^(4/3)-12x^(1/3))/(64x^4+9)^(1/3)# ?
- Let #f# and #g# be functions that are differentiable everywhere. If #g# is the inverse function of #f# and if #g(-2) = 5# and #f'(5) = -1/2#, then what is #g'(-2)#?
- Defferential of 2x^2?
- What is the integral of ∫sin 5x dx?
- How to do inverse trigonometric functions' limits?
- So on my question of Average rate of change, I had the equation f(x)=x^2+1. I had to find the average slope of f over the interval [-3,-1]. I got 4 as my answer. Is this correct?
- If 3x^2y+2x=-32 and dy/dt=-4 when x=2 and y=-3, how do you find dx/dt?
- Find the equation of the tangent line to the curve #x^2 cos^2(y)=sin(y)# at the #(0,pi)# thank you ?
- How to solve this: ∫(x^4+1)/(x^2+1)dx ?
- What is the integral of x^3/(x^2+16)^3?
- What is the derivative of #f(x)=(1-cos^2(5x))^3# ?
- How do I find the gradient function for f(x) where f(x) is ........ ?
- What is the derivative of #y = 4x^(-2x)#?
- How to solve this integral #int dx/ ((2+sinx)cosx# ?
- How do you find #\lim _ { x \rightarrow - \frac { x } { 4} } \frac { \cos 2x } { \sin x + \cos x }#?
- Calculate dy/dx when y2 = (3x+1)^3 / 9x + 2 ??
- How do you integrate #int_1^3sqrt(1+(2x-1/(8x))^2)dx# ?
- Differential equation?
- Inverse trig integration help? Int( arcsin(x) / sqrt(1 - x^2) )dx
- Limit question?
- Help me with this Limit example, please?
- Please solve?
- How to find sum of a series #sum# (n=1 to infinity) #[(-1)^(n)n]/5^(n+1)# ??
- Consider the curve where a and b are constants. The normal to this curve at the point where x=4 is 4x+y=22. Find the values of a and b?
- How do you integrate ∫(x^4-1)/(x^3-1)?
- Please help me with this Limit example?
- How to solve this Limit example?
- Integral of X^3+x÷x^4-9 ?
- What is difference between common and natural log?
- What is lim approaches 0(1-ax)^1/x?
- The limit of #(sqrt(x+1)-1)/(root(3)(x+1)-1)# if #x# approaches towards #0#?
- Solve the following homogenous differential equation by variable separable method? (x^4+y^4)dx - (2x^3y)dy = 0
- Differentiate from the first principle 1/√x+1?
- How do I even approach this problem? I don't know where to start.
- How do you find #\lim _ { x \rightarrow 1} \frac { e ^ { 2x } + e ^ { x } } { e ^ { x } - 1}#?
- What is #int(sin^2x cos^2x) /(sin^3x+cos^3x)^2dx # Limit is fr?
- Does #lim_(ararr0^+)(1/a^2)+lim_(brarr0-)(-1/b^2)# diverge?
- How to solve? Int ( sin(x) / (2 + cos^2(x)) )dx
- How to find #lim_(x->+oo)[x-x^2*ln(1+1/x)]# ???
- Calculate the area between the curve y=3x-x^2 and the x axis between x=10 and x= 6?
- Why is (1-x)^(-1/x)=e? I know that (1+x)^(1/x) is equal to e but I don’t understand with the negative there.
- How do solve #yx^2dy -y^3dx = 2x^2dy#?
- How can i show that #\int_a^b(lim_{n\to \infty} f_n(x))dx=lim_{n\to \infty}(\int_a^b f_n(x)dx)# for every #0 \leq a < b#? (details inside)
- y=x^4.3^-2x y'=?
- How do we solve the derivative of x^2.cosx using 1st principle of derivates?please help me out.thanks in advance!
- How to solve this two limits without L'Hospital's rule?
- How to integrate 2x (sin 2x ) ?
- Solve the differential equation by reducing it to variable separable form by proper substitution? : (x-y)^2dy/dx + a^2 = 0
- Solve (x - 2y + 1)dx + (4x - 3y - 6)dy = 0 and give an explicit solution?
- Whole Root (x+1) on differentiating ?
- How to solve properly #int tan(x)/cos^2x#?
- Two non negative numbers x and y exist such that the sum of the numbers if 12 and that the product of one number and the square of the other number is a maximum. What is the maximum product?
- What is derative of ? #f(x)=arctg \frac{x-1}{x+1} #
- How to solve this integral?
- How do you find the limit of #(sec(x+Deltax)-sec(x))/(Deltax)# as #Deltax# approaches 0?
- The function f(x)=log(x^2+x+1) is and even or odd function ?
- What is the lim_{x to +oo}{x*ln((x+1)/(x-1)} ?
- Determine if the derivative of the function below is exact? dz= (x^2+y^2 )dx+2xydy
- If f(x) and g(x) are one-to-one, how ti prove that f(g(x)) is also one-to-one?
- What is the relative maximum value for #f(x)=ln(x+5.1)-.5(x+3)^2+11.02#?
- Solve the equation explicitly for y and differentiate to get y in terms of x? #sqrt(x) + sqrt(y) = 1#
- Is f(x)=sin^2x+cos^6x even function?
- Evaluate the integral of #4tan^3(2x)dx#?
- Can you explain step by step how to solve #int tg(x) dx#?
- How do you integrate with sin(x)=t ?
- #(1+3+5+...+(2n-1))/(2+4+6+...+2n) = 115/116#. The value of n that satisfies is?
- When dy/dx = (x -6)1/2, what does y equal?
- What is the Integral cot^2 3x cos^4 3x dx ?
- FIND Dy/Dx of y=(x square-3x)3\4?
- Evaluate the limit as x tends to 0 of #(cos(2x)-1)/(cos(x)-1)#?
- If dy/dx = x2 + 4, what is the value of y? A. x3/2 +4x + C B. x3/2 +2x2 + c C. 2x + c D. x3/2 + 4x + c
- X approaches 0 tan3x/2x?
- #int_e^8θ sin(9θ)dθ# ?
- How do you find first derivate of #y = arc ctg x/sqrt(1-x^2)#?
- How to solve this integral?
- Given #f(x) = 3^x#, what is the average rate of changes from #x=-1# to #x=2#?
- How to solve this limit ? #lim_(x-> -oo) (4^x + 2xe^x) / ( 4^x + x^2 5^x)# Thank You
- Solving differential equations? y' - 2.x.y = x^3 , y(0) = 2
- #((n+1)/n)+((n+3)/n)+((n+5)/n)+...#. The sum of the first 10 terms equals?
- #int_0^oo t/(exp(t) - 1) dt#?
- What is the integral of #sin(101x)sin^99(x)dx#?
- How do you find the integral of #f(x)=cos^2(x^2)# using integration by parts?
- Lim (X^3+8/x+2). ? X=-2
- #(Sinx-cosx)/(sinx+cosx)# Show that #(dy)/(dx)=1+y^2?#
- Would this be the right way to plug a "Removable Discontinuity"?
- #lim_(x->-oo)e^(−x^2)#?
- Find a formula for #f^(−1)(x)# and #(f^(−1))′(x)# if #f(x)=sqrt(1/(x-6))#?
- using a partial integration find a recurrence relationship between Un + 1 and Un?
- Can you evaluate the integral by interpreting it in terms of areas?
- Differentiate tan√x w.r.t x ?
- integral of exp (-x^2) cos(√2x)dx?
- Answer all with working out please?
- How to integrate #intx/sinxdx#?
- With the function h(x)=x2−8x+9 whats the average rate of change of the function over the interval? 2≤x≤8 thanks!
- Calculus question?
- Show that #f# has no extremas? (Probably using Fermat's Theorem)
- If the tangent at any point on the curve x^4+y^4=a^4 cuts off intercepts p and q on the coordinate axis the value of p^-4/3 +q^-4/3 is ?
- Find #f# ?
- Intergration of #(x^2+1)/(x^3+1)#?
- The function x/√2-sinx has minimum at x=?
- How to calculate #(x+1)y'+y= tan^-1(x) / (x+1)# ?
- How should i solve the integral of ln(2x-1)/x^2 ?
- Do you have to integrate to solve this?
- Find the points of discontinuity of a functionf (x)=x+1÷(x-2)*(x-3)?
- How do we integrate #(d^2y)/(dx^2)=sinycosy*A^2# ?
- Lt ((mod x)÷x)=? X->0
- I want to represent f(x) as a fourier cosine integral ? f(x) = x^2 , 0<x<a 0 , x>a
- How you solve this differential equation? #y'+5y=0#
- The lim knowing that x->3?
- How you solve this differential equation? #(dphi)/dx+(8pi^2mE)/h^2phi = 0#,where #m,E,h# are constants.
- How to solve this limit: Lim (2x^(-3)e^(-1/x^2))/(x) as x->0 ? I tried with the rule of L’Hospital but it seems to make ir even harder.
- How do you find derivative of y=x^2+1. Using first principle?
- What s the limit of this when x->0 ?
- What's the #f^(-1)(x)# of #f(x)=x^3+1/x+2 ?#
- Find #int x/(x-1) dx# ?
- What is the derivative of #y=ln(sqrt((x+1)/(x-1)))#?
- How do you find the maclaurin series expansion of #sin(x+pi/5)# ?
- If x^2-y^2=5, what is the value of (d2y)/(dx2) at the point (3,2)?
- The height h of the right triangle is increasing at a rate of 1 unit/s. Find the rate at which θ (in rad/s) is changing when h=8?
- How do i solve this integral?
- Find the equation of the tangent to the curve #x + xy + y = 5# at #x = 5# help?
- Determine the value of a?
- Optimization?
- What is the average rate of change?
- If the graph of y=ax^3 +4x^2+cx+d has a point of inflection at (2,0), then what is the value of a?
- How do i solve this Integral?
- ∫ln(x² +1).x.dx=?
- How do I modify and derive? Thank you! (IMPORTANT)
- Are both these statements correct about the second derivative? 1. The second derivative is used to determine the concavity of a curve. 2. The second derivative describes how the first derivative is changing.
- Why can we not integrate #x^x#?
- How do i solve this integral?
- Help with #lim_{xrarr+oo} (-x+sqrt(x^2+1) # please?
- Y=(x+1)(x+2)(x+3) Find dy/dx?
- I am facing problems in recognizing the Question in Calculus as given in description ?
- Help with this extrema problem?
- d/dx(ln(1-cosx/1+cosx)^1/2)?
- If y=√1+x^2 then dy/dx is?
- What is the area enclosed? Please explain how. Thanks in advance
- What is the derivatives of 4 sec x - 2 csc x? thanks
- Find the slope of the secant line containing the points (2, 8) and (x, f(x)),x ≠ 2.?
- #lim_(x->1)sin(\pix)/sin(3\pix)# ?
- How do I solve this integral?
- Find the equation of: the tangent to y = sin x at the origin?
- If y = 0.5 ln(x-2) - 0.5(x+2), what is dy/dx?
- Find the point of inflection of the curve, #y=xe^x, x in RR#, if any. What is it's radius of curvature at #x = 2#?
- What is...?
- How is the function #1/9*x^3 +5, x<-3# not continuous at x=1 and what type of correspondence does it display?
- What is.....?
- What is the limit of... ?
- If f(x)=x^3+3x^2+4x+5 and g(x)=5x then what is d/dx g(f(-1))?
- Differentiate Y=7x^5+6x^2-x/5x^2+5x+3=?
- Can you help with finding the limit of #sin(x^2-4)# as x approaches -2?
- The point on the curve 2(y)=x^2 nearest (4,1),is the point?
- How do you find derivative of (x^lnx)+(lnx)^x?
- Lim x tends to infinity sqrtx+1-1/x=?
- How do you integrate #dz/dx=(1-z)/(2z+1)*1/x# ?
- Solve the general equation #(cosx+cos²x)dy/dx=sinx+sin³x#?
- If y=sin u, u=v^2 and v=4(x), then what is dy/dx?
- X(cosx-sinx)^2/(cosx+sinx) how do you integrate this?
- #int x^2 (Lnx)^2 dx=#?
- How do you integrate #int(2x-5)dx/(5x-11)# ?
- How do you find first derivate of #y=(1+x^3)^5#?
- Rolle's Theorem and Mean Value Theorem Help?
- How do you find second derivative of #y = 1/x#?
- Find the instantaneous rate of change for s(t) = 4t^2 -2 sin t + pi at t= -pi/2 ?
- What is the derivative of -3x(x+2)^1/2 ?
- How do you integrate #int (e^x)/(4-(e^x))^5 dx #?
- Integration of (sin3x)^3*(cos3x)^5 dx =?
- How to solve this integral?
- Find general solution of #dy/dx+2y/x=2e^(x²)xx(x²+1)/x#?if y=1 when x=1,express y in terms of x?
- Differentiate x^4y+y^2+2x=0 ?
- Derivative of x√x-x^2 ?
- How do I differentiate #sqrt(2sin(sqrt(x)))#?
- #lim_(x->0)(x^4sin((3pi)/(2x)))# using the squeezing theorem??
- This eqals....?
- This equals ?
- What is the derivative of #ln(sqrt(((1-cosx))/((1+cosx))))#?
- What is the critical numbers of this function ? #y=(2x)/(x^2-9)#
- Please solve this function for me please?
- Non-exact 1st Order Differential Equation? Kindly solve this Non-exact 1st Order Differential Equation by integrating Factor Method. (x+2)sinydx+x cosydy=0
- How to derivate f(x) = (2-cosx)ln(cosx) pleaase??
- X³+5 sin x is even or odd?
- F (x) =In (2+secx) ,f'(x)=?
- How do you evaluate #lim_(x to pi/3) (sin(x-pi/3))/(1-2cos(x))# without using the L'Hospital's rule?
- Find the integrated value?
- How to solve this integral? This is an improper integral.
- Lim x tends to 0. e^3x-e^-2x/x evaluate?
- How to solve this integral?
- How to Find #y'# of #y=x^cos(3x)# using logarithmic differentiation?
- Find the integral of #tan^5sec^7x\ dx#?
- How do you integrate #\int _ { 1} ^ { 3} x ^ { 3} - 4x ^ { 2} + 3x d x#?
- How do find #int (x^2) /( x^2 + 4) dx # ?
- Please solve this equation for me?
- Prove lim x → ∞ x( a^(1/x) - 1 ) = ln a ?
- How to solve this integral?
- How to calculate #int sec^5x dx# ?
- Y=x*sinx find y^n=?
- #int(cosx+sinx)/root(5)((sinx-cosx))dx #?
- Finding roots of a function with mean value theorem?
- Can someone please explain this?
- How to solve this integral?
- Can anyone please explain how to solve this equation?
- Find the volume of the greatest rectangular parallelopiped that can be inscribed in the ellipsoid #x^2/a^2+y^2/b^2+z^2/c^2=1# ,using Lagrange's method?
- Continuous of ln (×-1/×+1)?
- integration #int x^3e^(x^2) dx =#?
- Hi there. May I ask, how do you integrate #int sqrt(1-7w^2)# using trig substitutions? Thanks in advance.
- How do you find the limit x-1/lnx as x→1 ?
- What is the arc lenght of the f(x)=arcsin(e^x) function? ln(sqrt(2)/2)<= x <=ln(sqrt(3)/2)
- Lim x->infinite ln(x^3+x+1)/ln(x+1) =?
- What is the vertical asymptote of f(x) = x^2-4/2x^2 ?
- If y = x^3+2x^2-3x+5, Find dy/dx and d^2y/dx2 ?
- y"+2y'tanx-y=0? then complimentary function u is sinx
- Dy/dx+ycotx=2cosx Solve by the method of variation of parameters?
- How would I solve this type of equation?
- Solve the initial value problem of the differential equation #e^xdy/dx=e^y+2e^(2x) x³;y(0)=4#?
- Find the general equation of differential equation #dy/dx+ycotx=2sinx#?
- How do I solve the following nonlinear differential equation under initial condition y(1) = 1?
- Find the volume # y=x+2# and #y=x^2# around x?
- How do i do this?
- How to solve the following inhomogeneous differential equation? under the initial condition y (0) = y0. Let λ and μ be positive real parameters.
- Can you explain to me how to arrive to this answer ?
- #intcot^2xdx#?
- Find general solution to the differential equation #(1+x)dy/dx-y=1+x#?
- What is #int_(0)^(pi/2) cscxtanx dx #?
- Find y in terms of x given that #xdy/dx=(1-2x²)y# where x>0 and y=1 and x=1?
- Can anyone answer this integration ?
- Use the summation formulas to rewrite the expression without the summation notation. Use the result to find the sum for n=100. Can anyone help me? #sum_(i=1)^n(4i+3)/n^2#
- Given #dy/dx=e^x(1-y)²#,express y in terms of x?
- What's the limit as x approaches infinity of x^2×ln[(x+1)/x] -x? Thank you so much
- How to use intergration by parts with this exercise?
- Find the volume of the solid region generated when the area in the first quadrant enclosed by y = cos x, y = 0, x = 0, and x = pi/2 is revolved around the y-axis? use shells.
- Find the average value of the function on the given interval?
- Find the average value of the function on the given interval?
- How do you derive e^(x+1)?
- Find the average value of the function on the given interval?
- How to solve this problem?
- lim x → - ∞ [(x^8-x^3+2)/(-3x^4+x+7)]= ?
- How can I find the integral of (5x+7)/(x^2+4x+8)?
- How to find the range of h(x)?
- There's a school of 1000 fish, the number P infected with a disease at time t years is given by P = #1000/(1+ce^-(1000t)# where c is a constant. How do you show that eventually all the fish will become infested?
- Y''-4*y=4*e^-x general solution?
- How can I determine the graph using the properties ?
- Where is #f(z) = 1/sin^2(z)# be continuous on #Gamma_R#? (#Gamma_R# is a circle #{z ∈ C : |z| = R} # with anticlockwise direction) and evaluate the integral over #Gamma_R#
- What is #\lim _ { x \rightarrow 0^ { + } } \sqrt { x} \ln ( x ) #?
- What is the limit of 2+cosx/x^2+1 with x approaching pie?
- (X-2)^2/(sqrt(4x-x^2)^5) (Sqrt(-x^2+6x))/(x-3) Can someone solve the integrals above please?
- How do you find the value of #\sum _ { n } ^ { \infty } \frac { n ^ { 2} } { 5^ { n } } ( x - 1) ^ { n }#?
- How do you find the derivative of f(x) = √x using the limit definition?
- How to solve this problem #lim(e^x-x)^(1/x))# when x --> 0 ?
- Differentiate by using first principle y = e^2x?
- Derivative of #tan^2x+a^x#?
- 1. Find the integral of ??
- Rate of change? Derivatives
- F(x)=2/3x-4 then f'(x)=?
- F(x)=2x+3,then f'(x)=?
- Sketch a curve #y = 2x^2#?
- Find the area bound by the curved y=x^2-2x+5 and y=-x^2+2x-2 and the pair of lines x=0 and x=3?
- How to solve int 3/(x-1)(x-2) ?
- The radius of a hemisphere is increasing at a steady rate of 0.02 meter per second .when the plane surface area is increasing at 0.04 meter square per second.calculate in terms of pie the radius?
- Write seven terms of the Fourier series given the following coefficients?
- Find the dimensions of a closed cylindrical can with a capacity of 2 liters. What are the dimensions to minimize the cost of the metal to manufacture the can? (Let "r" represent the radius of the can in cm and "h" represent the height of the can in cm.)
- Integration of [cos^(-1)x]^2 =?
- How do you prove the limit of sqr(x)*sin(1/x) to be 0 for x-> 0+ using the epsilon delta argument?
- What is a integral of?
- Can anyone help me?
- Please evaluate the integral? #intsqrt(4-x^2/x^2)dx#
- Find the limit of cos(2*pi+1/pi*x) as x approach to infinity ?
- Can anybody do this?
- Given that #f(x) = xlnx, x>0#. Find #f'(x)# and hence, determine the value of #int_e^(2e)lnx#?
- How to do this?
- Find the derivative of y=(1+sin^3(x^5))^12 ?
- How do you integrate ?
- What is #int ln(e^x+1) dx#?
- A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 2.1 ft/s. (a) How rapidly is the area enclosed by the ripple increasing when the radius is 2 feet? (b) How rapidly is the area enclosed by the rippl
- 125th derivative of cosx?
- Lim(as x tends to 0) 1-cosx/tan^2x?
- If y = x^2 and x change from x0 = 8 to x1=12 , find : A) delta x B) delta y C) dy D)Approximate the relative error in y Could somebody help me to solve this problem please ? Any help would be greatly appreciated !
- The curve #y=f(x)=2/(2x+9)# has a tangent that passes through a point #(3,0)#. a) What is the tangent's slope k at the point of tangency #(x_0, 2/(2*x_0+9))#? b) What is the #x_0#?
- What is the derivative of #y=1+cosxsinx+3cos4x+7tan8x#? Thanks
- What is the derivative of ln(3+e^(4x))?
- How to solve this function?
- Derivative of tan square x plus a to the power x?
- How to evaluate lim (x-2)/(x-1) x->1?
- Evaluate the integral or show that it is divergent?
- Sketch and determine the turning points of the curve y=12-12x+12x²?
- Evaluate the integral or show that it is divergent?
- Can you differentiate x^x?
- What is #int_(0)^(oo) (x-1)/(x^3+x^2)dx #?
- What is the maximum and minimum of the equation f(x)=x^3-3x-x^2-x+10?
- The velocity v at time t of an object travelling in a straight line is given by v=t-3. What is the distance it travels from t=0 to t=4?
- Evaluate the following integral 3 different ways (U-substitution, Trigonometric Substitution, and Integration by Parts) showing each methods yields the same result.? #int xsqrt(1+x) dx#
- How to solve it using primitivation by parts?
- How to find #int \frac{dx}{\sqrt{a^2+x^2}}# where #a in [0, 2]#?
- Find the critical numbers ?
- Limit x approaches 1 for function (x^2+x-2)/(x^5-1)?
- How can I solve 1/(xroot(4+x^2)) using trigonometric substitution?
- #int\ cot^2(2x) sin^3(2x)\ dx#?
- How do you differentiate (3+2x) / sqrt x with respect to x?
- Be f : A → B a function and X,Y ⊂ A. Show that: any thoughts? thanks
- Y=Ln (3x^2) F'(x)=???
- Is #f(x) =2x^3+(x+2)(x-4)# concave or convex at #x=-8#?
- How to do the ordinary differential equation? #{dA}/{dt}=dotA=-alpha/{2m}A rarr A(t)=A(0)e^{-alpha/{2m}t}#
- Solve the differential equation #xdy/dx+y=xsinx,y(π)=1#?
- Find a closed form expression for the nth right Riemann sum of this integral. HELP!?
- Solve the differential equation xdy/dx+y=xsinx,y(π)=1?
- An aeroplane is flying at a height 2/3 mile with a velocity of 15m.p.h. Find the rate at which it is receding from a fixed point on the ground which it passed over 2 minutes ago?
- A thin plate covers the triangular region bounded by the x-axis and , the line y=x and the x=1.?
- #1/ (x^2 + x.sqrt(x) )# Can someone find this integral ?
- What is the interval of convergence of #sum_{n=0}^{oo}[log_2(\frac{x+1}{x-2})]^n#? And what's the sum in #x=3#?
- Find the Laplace transform of f(t)?
- How do I estimate the number "e raised to negative .015) by using linear approximation and by taking the differential?
- What is #int sin x/ ( 1-sin^2x)dx#?
- How to derive 5.18 equation? details in image
- A can of peanuts has a circular base and top, and it is cylindrical in shape. The volume is 500cm^3. If the can is to require the least amount of material, what must its dimensions be? Give your answer correct to one decimal.
- Would you help me find the limit?
- What is #d/dt(log_em_0/m)# ?
- Find the total area enclosed by y=x^3-4x and the x-axis, between the vertical lines x=-2 and x=3. How would you calculate the total area?
- F(x)= 1\1-x x approaches 1?
- If #2x^2 – 3xy + y^2 + x + 2y – 7 = 0#, then #dy/dx# is equal to –?
- What is the derivative of #y=4xsin^-1(x)+4sqrt(1-x^2)#?
- Integrate #int\ -lnx\ dx#?
- Given that #cos(xy)=sin(x^(1/3))(sin(y))^(1/2)#,find #dy/dx#?
- How do you prove: #lim_(x->0) sin(x)/x = 1# without using l'hopital's rule (or the derivative of sin(x) at all)?
- Find the area between the curves #y=x^2-4x+5# and #y=-2x+8#?
- Consider the function....?
- Solve this ?
- Integrate 2xe^x .dx?
- How do i find the sum of #\sum_{n=0}^{\infty} \frac{3^{n}}{n!(n+3)#?
- Having problems with this integral how do I go about it including the final answer?
- Integral of |1-x^2| from [-2,2] ?
- How do you solve this integral ?
- What is the Integration of 5/x^2?
- Find the value of x at which the function y = x^2 reaches its average value on the interval [0,10]?
- What is the principal unit normal vector to the curve at the specified value of the parameter?
- How to graph #\sum_{n=0}^\oo 2x^n#?
- Diferetiate y=ln(2/3x)2..?
- Solve this question by linear differential equations #(Tan^-1y-x)dy=(1+y^2)dx#?
- Derivative of tan-1 y/x?
- Does the sign change either side of a point of inflection?
- Integrate (x²+4)²?
- #int( x-3)/(x^2+2x+4)^2dx# Evaluate the integral ?
- #int (sqrt(9-x^2))/x^2 dx# Can someone solve this integral?
- What is the interval of convergence of #\sum_{n=0}^{oo} (\frac{1}{x(1-x)})^n#?
- How to determine whether #\sum_{n=1}^oo (\frac{2}{n}+\frac{3}{2})^n# converges or diverges?
- What is the area between the graph of y=x^3 and the axis from x=3 to x=4?
- How do you find the tangent line at #pi/6# of this derivative #(2cos^2x + 2sin^2x)/(sinx + 2cosx)^2 ?#
- For what values of x is #f(x) = e^-(1/x^2)# concave or convex?
- Prove the following inequality according to the "weighted average weighted theorem".?
- What is the interval of convergence of #\sum_{n=0}^{\infty} (cos x)^n#?
- If the line y = x + 4 is tangent to f(x) = ax^2 + bx at the point (2, 6), then a + b equals?
- Solve by vriation of parameters z"'-5z"+25'-125z=1000?
- How to Differentiate #t (1+t^2)^(-1/2)#? Thnx
- Let R be the region bounded by y =x^2 , y = 0 and x =1. how to Compute the volume of the solid formed by revolving R about the given line of y = 1?
- How do you Differentiate y=sin^-1(x)^2?
- How to find the derivative of #y=cos^(-1)(1–2sin^2 x)#?
- ∫tanx/tan^2x+tanx+1 dx = ?
- How do i show that the linear transform #T:v->V# #T_v=v-2(v,w_1)w_1-2(v,w_2)w_2# is unitarian and adjoint to itself(<Tu,v>=<u,T*v>) and that is non-negative(details inside)?
- Prove the absolute convergence of the series?
- What the limit of (1/x)^1/x as x approaches #oo#? help me please
- #lim_(x to 0^+) (2-e^sqrt(x))^(1/x)# solve for x?
- Could you show me the workings of this polynomial function f(x)=cos x ?
- I don't understand because this limit not exist, can you solve it?
- 1/(x^2 + x + 1) Can someone solve this integrale for me?
- #(x^2 -xy^2)dy/dx + y^2+xy^2# solve ?
- If #x>0#, use the Taylor series to show that #sqrt(1+x) < 1+(x/2)-(x^2/8)+(x^3/16)#?
- Question about projecting limits for an even and odd theoretical function?
- Find the equation of the given line at the point y=radical x at (4,2)?
- If the radius length of a circle increases at a rate 2cm./sec at what rate the circumference of the circle increases?
- How to integrate x^x?
- How do I solve this improper integral from 0 to 1 of 1/x^3 if it is convergent?
- How do you find the equation of the tangent line of f(x)=arcsin(x) where x=1?
- Differentiation of tanx½?
- Lim (x->+oo) (ln(1+ax))/(ln(1+bx))=?
- Kindly sum this series , if its convergent and state why its convergent?
- Determine the area bound by y=(x^3)/3 and y=3x. Im not sure what the question is asking, is it asking for total area?
- Derivative of xsinx/tanx ?
- Find differential equation of function (x+tany)dy=sin2x dx?
- Integrate 1/(sinx+tanx) dx ?
- Kindly Solve this 2nd ODE using the method of "undetermined coefficients".?
- #d/(dx)(tan(2^(x+2)))=?#
- If #u=arcsin((x^2+y^2)/(x+y))# then is it true that #x(\partialu)/(\partialx)+y(\partialu)/(\partialy)=tan(u)#?
- Find the absolute maximum and minimum values of f(t)=t-t^1/3 on the interval [-1,4]?
- ∫1/(xtanx+1)^2 dx = ?
- How can i calculate this limit?
- #(d(t^2/(1+t^4)^(1/2)))/(dt)=# ?
- How is {(n+2)(n+1)..3} = (n+2)!/2?
- Integrate 1/(sinx(3+4cosx))dx ?
- F is a function defined in R and derivable in R and ∃ a,b;c as a<b<c and 2f(c)=f(a)+f(b) prove that ∃ ∝ ∈ R such as f'(∝)=0 ?
- Integrate (1+sinx)/(1+cosx)dx ?
- Is #f(x) =(x-2)^2(x+6)(x-3)# concave or convex at #x=0#?
- Integrate 1/(a+be^x)dx ?
- Integrate e^sin^2(x)sin2xdx ?
- I heard about the Reimann Zeta function recently #zeta(s)=sum_(n=1)^oo 1/(n^s)#, but then I heard that #zeta(-1)=-1/12# can someone please explain this to me?
- What is the derivative of ? x-sinx-1/2=0
- 1. Find the derivative of x^3+3x+2 from first principle ? 2.find the gradient of the curve x^3+3x+2 when x= -2? 3. The curve y=1/2 +bx passes through the point(1,-1) and it's gradient at that point is. Find the value of a and b?
- If y=dx, find d^4y/dx^4? Then prove that d^4y/dx^4-256y=0 Please someone should help. Thanks in advance!
- Solution of the area bounded by the curve y=x^3 -4x and the x-axis?
- Lim x-0 x(√1+x -2)?
- My textbook says that #lim x-> - oo (x^2+x+3)/x^2# is >1 from below. I thought is was from above. Which one is correct?
- How to find the limit of sqrt(x²+2x+2)-x with x>=0 ?
- How to differentiate #x^y + y^x = c#?
- #intcos^3(2x)-sin(6x)#?
- Kindly Solve this 2nd ODE using the method of "undetermined coefficients".?
- The relation between distance #s# and velocity #v# is given by #v=(150 s)/(3 + s)#. Find the acceleration in terms of #s#?
- what is the derivative of ln(x-1)?
- Integrate? Sin^2 3x + 4cos4x
- The height h of an equilateral triangle is increasing at a rate of 3cm/min. How fast is the area changing when h is 5 cm? Give your answer to two decimal places.
- Lim_(x- infinity) 3^x . tan (k/3^x) Where k is any constant How to solve this by de l hospital rule??
- What is the derivative of f(x) = 2^x?
- How to find the third degree taylor polynomial for #f(x)=2-x-x^2/2+2x^3#?
- What is the tan(5x)' ?
- How do i know if #\sum_{n=2}^\infty(\frac{n*cos2n}{n^2-1}+\frac{cos\pin}{ln(n)*(ln(n^n+n^2))})# absolutely converge,conditionally or diverges?
- Find the derivative of f(x)=cosx ,at x=0?
- A pinecone falls from a tree. The pinecone's height #y# (in feet) after #t# seconds can be modeled by #64-16t^2#. After how many seconds does the pinecone hit the ground?
- What is the limit as x approaches positive infinity of xe^(-2x)?
- What is #Lim_(x-> 0) (1+3x)^(1/(2x))# by using L'hopital/L'hospital rule?
- How to solve the integral using the residue theorem #int_(|z|=2)z*cos(z/(z+1))dz# ?
- #lim_(n to 0) (lamda^n - mu^n)/n # #lamda, mu in CC #?
- What is the integral of cos^2(2x)sin x dx ?
- #int 8/(x^3+x)dx# Evaluate the integral using the partial fraction method ?
- How can I solve the problem?
- How can I use Taylor Series Expansion to represent the following limit; #lim_(x->+oo)x^2*((1+1/(x+1))^(x+1)-(1+1/x)^(x))#?
- Find a value of a so that the limit exists in a piece wise function?
- Find #lim x->0 (h^3+2h^2-7h)/h#?
- What the second derivative of #7x#/#x^2#+4? help me??
- What is the limit of...?
- How to solve #lim_(x->0)((1/(x(sqrt(x+1))))-1/x)#?
- Using 1st principal find 4/√x?
- Find the extreme values of the function and where they occur? 1/x^2+1 i solve it as 0.5 is minimum at x= -1 but it is false!
- #lim_(x to oo)((log|x|)/x)^(1/x)=#?
- What the maximum and minimum and what the interval is increasing and decreasing of x lnx? help me
- Find the #lim_(x to pi/4) {4sqrt3-(cos(x)+sin(x))^5}/(1-sin(2x))#?
- Question -Integration of Sin inverse x whole square ?
- How do i know if it's true that #\sum _{n=1}^\infty a_n# converges if and only if #\sum_{n=1}^\infty a_n^2+a_n# converges?( #a_n>0# for every n)
- d/dx(e^5 ln(tan 5x))?
- How can i find the critical point of tanx? help me
- Find the derivative #(dy)/(dx)# of the polynomial: #y=1/3x^3-3x^2+5x+7#; and if #y’=(dy)/(dx)=0# then try to find 1)the roots of the slope equation; and 2)the intersections points of the curve and the x-axis. ?
- What is the Laplace transformation of #f(t)=tcos(at)# ?
- F(x) = x3 - 9x2 + 4 Determine all critical points for the function?
- How do i show that #\sum_{n=1}^\infty(a^{u_1+u_2+...+u_n})# converges if and only if a>1? (# (u_n)# is a convergent series, #lim_{n \to \infty} u_n= u<0#, a is a positive number)
- How does the following derivation come from? #d/(dx)(sinx)^cosx = #?
- #lim_(x→2) ((sqrt(x^2+5) - 4x + 5)/(x^2 - 4))# Is it possible for someone to solve this one please?
- What is the limit ?
- Can someone help me?. I am having trouble understanding exactly what concavity and convexity of a function really mean.
- Y'+y=x^2y^2 ? how can we solve this question with linear differential I tried but I could not go more
- What is the average value of the function f (x0=sqrt (4-x^2 ) on [-2,2]?
- Find the three values for the angle θ ( in radian), by the equation as follows: #(d(cos^2(θ^5)))/(dθ)=0# (10%) ?
- What is the answer for the integral from 0 to infinity xe^-x/2?
- Find the instantaneous rate of change for s(t) = 4t^2 -2sint + pi at t=-pi/2 ?
- How to show the the infinite series #sum_(n=1)^oo 1/(sqrtn+sqrt(n+1)# diverges?
- Discuss the continuity of f(x)=x-[x] at x=0?
- What is the formula for the nth term of the sequence #ln(2/1),ln(3/2),ln(4/3)...# and how to find its limit if it exist?
- Limit x tends to one so LOGX/(X-1)=?
- Find the derivate of (1+x^2)log2x w.r.t x?
- Integrate sinx/sin3x dx ?
- What's #lim_(xrarroo) e^(-2x)cosx# ?? thanks.
- Question 18?
- Find the derivative of the inverse of the given function at the given point? f(x)=5x+#3x^2#+7x+2 at (13,1) help me please
- Solve f(x) = 2(x)^1/2 using defination of derivative?
- Use the logarithmic differentiation to find the derivative of #y=(xsqrt(x^2+1))/ (x+1)^(2/3)# can any one help me to solve it??
- Let f(x)=-2x^3+5x^2-3x-3 find an expression for the second derivative f''(x)?
- Evaluate integration of dx/x^2(4x-9)^(1/2)?
- What is [(tanx)/x] ' using the derivative definition?
- Is #\sum _{n=1}^ \infty \frac{1+(-2)^nsin\frac{1}{n}}{\sqrtn * 2^n}# absolute convergent, conditional convergent or divergent?
- What is? lim x->0 1-cosx/xsinx
- Differentiate the function y=4cos(cos(x)).?
- 4th derivative of (x^2-1)^4?
- How do i do x(t)=sin^-1(t/4) at t=3?
- Prove that cosine is a continous function?
- Cos (msin^x) differntiation ?
- Verify the Cauchy mean value theorem for the function #f(x)=sqrt(x)# and #g(x)=1/sqrt(x)# in [a, b] ?
- Integration of sec x.tan^-1x ?
- Derivative of y=log3x by using first principle????
- Find #f# ?
- Calculus problem...?
- What is #dy/dx=Sec^2 (1/x)# ?
- Find area under the curve? Pl refer to the question in the img attached
- Differentiate cos(sin2x)-sin(1/x)?
- Estimate #int_0^1 e^(-2x) dx# within an error of 0.01?
- Integration of 1/(x^2+2x+10)^2 wrt x ?
- How do you evaluate #\lim _ { x \rightarrow - \infty } \frac { | x - 4| } { 2x }#?
- Maybe I get help doing his calculus 2 problem. Sketch graph R=2 and R=2(1+cos(theta)) Find area of region inside of cardioid and outside of the circle?
- If z = f(x,y) and x^2 + 2xz - 2yz^2 = 10....?
- F(x) = 7csc( 4x ) How could I find at which points the function is discontinuous?
- Find general solution of differential, y = 2x+ce^x?
- Use the fundamental theorem of calculus to find the derivative of the function?
- Find the equations for the lines that are tangent and normal to y=2-sinx at x=pi?
- How do you resolve y'=y/x+xe^x?
- Solve (4x+3y+15)dx + (2x+y+7)dy = 0?
- #lim_(x->0) (sin(3x)cot(5y))/(ycot(4y))? #
- What are the extreme values of #f(x) = (x+2)/(e^(2x)# on the interval #-2<=x<=4#?
- Please help...?
- What is #intdx/((1+x^(1/4))^2*(x^(1/2)))#?
- Find the equation of the tangent to the parabola y^2 = 5x which is parallel to the line y = 4x+1 . Also find the point of contact?
- Find the limit?
- What is the answer ? :)
- Result is 1 but how ?
- What s the answer ?
- The answer is e*-2 but how ?
- #lim_(x->0)(sinx*x^2(1-cos^2x))/(x^6)=#?
- Standar integral?
- How to solve this integral equation ?
- A particle is moving in a circle of radius R in such a way that at any instant the normal and tangential component of its acceleration are equal. If its speed at t = 0 is #v_o#, the time taken to complete the first revolution is?
- A point on the parabola y^2=18x at which the ordinate increases at twice the rate of abscissa is ? (a)(9/8),(9/2) (b)(2,-4) (c)(-9/8),(9/2) (d)(2,4)
- Which of the following is not a decreasing function on the interval(0,pi/2)? (a)cosx (b)cos2x (c)cos3x (d)cotx
- Integrate 1/(sinx+tanx)dx ?
- Find dy/dx of #y=e^x sin x # Help please and show the working? Thanks
- Find dy/dx of #y=e^(x sin x) # Help please and show the working? Thanks
- How to solve#lim_(x->2)(2-sqrt(8-x^2))/(x-2)# ?
- Would you help me find the limit?
- #lim_(x->4) (sqrt(1+2x)-3)/(sqrtx-2)# ?
- #d/(dx)(tan^(-1).((4x)/sqrt(1-4x^2)))=?#
- Lim(x->1)logx/1-x?
- Find f f''(t)=t^-3/2 ?
- How do you find the integral of dx/x^2?
- How do you prove that #lim_(x->5)x^2!=24# using limit definition?
- If f(2x)= x^2+x.. Find f‛(1)?
- What is the answer to the integral, #int x^3/(x^8+1)*dx# ?
- How does #g(t) = 9^t# change over the interval from #t=5# to #t=7#?
- How to find the total area of the region bounded by the curve #y=e^(2x)# and #y=5#?
- How do you evaluate #lim_(xrarr5) (x-5)/(sqrt( x+4)-3)# ?
- How many roots does the following quadratic function of t have: f(t) = a + bt + ct^2 if it is known that f(t) >=0 for all values of t ?
- Let f(x)=5x-4,when 0<x<1 and f(x)=4x^2-3x, when x>1,discuss the differentiability of f(x) at x=1?
- What can be said about differentiation of a constant with respect to a constant & differentiation of a variable with respect to a constant?
- Find all point of discontinuity where f(x)={sinx/x if x<0 and x+1 if x>=0 } ?
- How to determine whether the series #-2+5/2-25/8+125/32+...# is convergent or divergent? If it converges how to find the sum?
- How to solve the mentioned problem?
- Lim x tend to infinity sinx/x = ?
- How can I solve this problem?Please,help.
- What is #int(4x^2-3x+2)/(4x^2-4x+3)dx# ?
- How do you evaluate the following equation when #f'(0.5)#? #f(x) = (2x + 4) / sqrt x#
- Does #a_n=(-1/2)^n# sequence converge or diverge? How do you find its limit?
- Convert y' = (2xy - x) into an exact differential equation?
- #lim_(x->0)(sqrt(1+x^2)-sqrt(1+x))/(sqrt(1+x^3)-sqrt(1+x))=#?
- Find derivative of (tanx/x) log(e^x/x^x)?
- How can I solve the mentioned problem?Please,help.
- Differentiate the function f(x)=(3x+1)^4(2x+1)^5 and simplify your answer. Then find all values of for which the tangent line to the graph of f(x) at (c,f(c)) is horizontal. (8%)?
- A particle travels at #2 units per# second along the curve #y=x^3-3x^2+2#. How long does it take to travel from the local maximum to the local minimum?
- How can I integrate sec^3(2x)?
- How do you find the derivative of 1/ 2sqrtx?
- Limit x tends to infinity sin inverse x ?
- Using subsituition y=e^x 1) e^x = 7-12e^(-x) 2)e^(3x)+2e^x=3e^(2x) Solve x ?
- Finding the limit of #(1/x+1/2)/(x^3+2)# ?
- How do you find the particular solution of the differential equation that satisfies the initial condition?
- How to differentiate # ln 5x^4# help?
- What is the limit of the following trig function... lim as x approaches 0 xcot(x)?
- Please help! If the curves: y=x 2+ax+band y=cx-x2 gave a common tangent line at the point (1,0). Then try to find 1)a,b, and c. 2)the equations of the curves ?
- Try to find the derivative of g(t)=tan(5-sin 2t). g’(t)=? (8%)
- Using Simpson's rule (6 ordinates) evaluate the area under the curve y=x^2+x when x is between 0.2 and 1?
- How can I integrate csc^2(5x) and csc^3(2x)?
- Given f(x) = x−3/|x−3| ,x<3 ax^2+11 ,x≥3 is continuous. Find the value of a. ??
- Integrate cos(blnx/a)dx ?
- What is the nth derivative of x^n?
- How to integrate?
- How to show that the sequence defined by #a_n=2,a_(n+1)=1/(3-a_n)# satisfies #0<=a_n<=2# and decreasing. how to find the limit?
- Integration of 1/e^x(1+e^x) dx ?
- How to solve this limite ? lim[x=+∞]((-x^3+2x^2)e^(-x+1))
- If #y=sqrt(83.2x^3)# , find y'(1.74) ?
- How do you find Lim #(4x^4-x+1)/(6x^4+x^3+4x-2)# as x approaches infinity ?
- What is the slope of the line tangent to the graph of y=ln(x^2+x) at the point where x=4?
- Hoq to find the area of the ellipse using trigonometric integral #x^2/9+y^2/4# ?
- What is the limit of ((e^1/x)-x)/(1/x) as x approach infinity? Thanks
- How to Derivative that?
- Integrate #sqrt(x)(e^-sqrt(x))dx #?
- How to differentiate it?
- What is the derivative of arcsin(2x)/1+x^2?
- Differentiation?
- Int int y dx dy over the triangle with vertices (−1, 0), (0, 2), and (2, 0).?
- How do you evaluate #\int 6x e ^ { 5x } d x #?
- What is the lim (√x+2 - √2)/x as x approaches 2 ?
- How do you determine whether this sequence #a_n=(3+5n^2)/(n+n^2)# converge or diverge?
- How do you find the limit of #((x^2+4x+1)/(x^2+2x+2))^(10x)# as x approaches infinity without using L'Hospital's rule?
- What is calculus?
- What is lim (x^2+1)/(4-x) as x approaches 0 ?
- Find #int_4^5f(5x+2) dx# if #int_22^27f(x)dx# ?
- Can someone explain why a graph of #y=sum_(n=0)^oo-sin(xn)# shows the enclosed area made by #y=tan(x/4)/2# and #y=tan(x/4-pi/2)/2#?
- What is the area?
- Hi, could You help me with this Limit x=》oo #((arctg(3x))/pi)^(2x)# ?
- An equation of the line tangent to the graph of y=secx-tanx at the point (0,1) is ?
- Find me please? #\frac{2}{3}\pi \int _0^{\pi }\a^3sin^3\(2phi)\sin(phi)d\phi=?#
- May I know how to solve it?
- How do you differentiate "y = (sinx)^sqrt(x)"?
- Use integral to find the following calculus answer A, and B.?
- What is the equation of (a) the tangent line and (b) the normal line to #x^2+y^2=25# at #(-3,4)# ?
- How do you find all solutions to the equation #y(2x)=dy/dx# where #y# is a function of #x#?
- Get the bottom integral?(proof)
- #d/dx(tan^(-1)2x)=2/(4x^2+1)#. Why is there a #2# in the numerator?
- What is the drevitive of? y =ln(x*tan(2*x))
- How do you differentiate the equation?
- Prove that function hasn't lim in #x_0=0# ?
- Can someone explain related rates problems to me?
- #tan^-1(sqrt({x+1}/{x-1}))# find #dy/dx#?
- If f(x)=sin^2(2x) then f'(pi/6)= ?
- Sin(ax+b) nth derivative?
- How to find the total area between the function #y=3x^2-3# and the x-axis? on the interval [-2,2]
- Sketch the region R ,where R is the region bounded by x=y^2 and (x-1)^2+y^2=1?
- What is# int_5^10(sqrt(x+sqrt(20x-100))+sqrt(x-sqrt(20x-100)))dx#?How is it solved?
- What's the answer about #int cosx cos3x cos5x dx# ? THANKS
- How to differentiate lnx/x.when x=1,what is the answer,please?
- Indefinite intergral (x+3)^2sin x dx ?
- Let R be the region bounded by y=4/(x^3), y=1/2 and x=1. What is R if it revolved around the line y = -2?
- How do you calculate the average rate of change of #f(x) =x^2+3x-2# on the interval #1<=x<=4#?
- How to solve limit of #lim n -> oo ((4n)/(4n+5))^(2n)#?
- Find the points at which each function if discontinious?
- How do you solve this?
- How to solve the limit #lim x->oo (1+2x)^2/(1+2x^2)# ?
- How do you find the definite integral of cos^4(2x)sin(2x) dx?
- Find the points at which function is discontinuous?
- Please help solve this question ?
- How can I find #dy/dx# of the function #f(x,y)=x^2+xy-3y=3# at the point #(2,1)#?
- How to find the maximum volume?
- Find the derivative invers Cot x?
- Find the value of the smallest slope for a tangent line to the graph of #y=2x^3-2x^2+5x+1# . Justify/explain your answer. I dont know what to do after getting a derivative?
- #n^"th"# derivative of #y= e^(2x)*sin(x)*cos(4x)#?
- What is the integral of sec 3x tan 2x ?
- Is it possible to have general formula for #int csc^n x# ? Could you help please?
- Could anyone help me get a general formula for integral of cot^n x?
- NEED HELP WITH LIMITS (AP calculus) x approaching some number from the negative side and from the positive side??
- Integral of #int\ 10^(4x)\ dx#?
- Lim 3^x - 3^-x/3^x + 3^-x ? x->infinity
- What is #int_5^10(sqrt(x+(20x-100))+sqrt(x-(20x+100)))dx# ? How to solve it?
- Find the derivative of #(5x^3+3x-1)(x-1)#?
- Given that the equation of curve C is 𝑦 = 𝑥 + 1 +#4/x^2# The curve C has a minimum point M. Determine the coordinates of M and prove the nature of it. How to solve?
- Let f be the function defined by f(x)=ln(x^2+1), and let g be the function defined by g(x)=x^5+x^3. The line tangent to the graph of f at x=2 is parallel to the line tangent to the graph of g at x=a, where a is a positive constant. What is the value of a?
- Differentiate the following functions (a), (b), (c).?
- With what integer a is the the graph #y=4x-2# the tangent line of #y=ax^2+28x+14#?
- If #(1+x^2)dy/dx=x(1-y) and y(0)=4/3 #,then the value of #y(sqrt(8))+8/9# is ?
- The curve C has the equation #ye^(-2x) = 2x+y^2# (a) Determine #dy/dx# in terms of 𝑥 and 𝑦. The point A on C has coordinates (0, 1). (b) Determine the equation of normal to C at A, giving your answer in the form 𝑎𝑥 + 𝑏𝑥 +𝑐 = 0 How to solve?
- It is given that #dy/dx=3sqrtx +16/x^2 -7#. How to determine the equation of normal to the curve at point A(1,8)?
- Let #a# is real number and #epsilon>0#. Defined that #V_epsilon(a)={x:|x-a|<"epsilon}#. If #a!=b#, how to determine #epsilon>0# and #delta>0# so that #V_epsilon(a)nnV_delta(b)=O/# ?
- If #x=sint# and #y=cost#, then #(d^2y)/dx^2# = ?
- What is the area of the figure?
- Derivative cos(x/2)?
- Integration of 1/1+e^x at limit 0 up to infinity?
- Derivative cos(x/2)?
- If z = x^2 + 2y^2 , x = r cos θ , y = r sin θ , find the partial derivative (∂z/∂θ)_y ?
- Example of a function that doesn't preserve monotonicity?
- How find the values of x when given y?
- #4y''+36y="cosec"(3x)#, can u please help me to solve this equation?
- Guys can you help me out? what is the limit of this lim x → ∞ √x+1/e^√x
- A rectangle has its base on the x_axis and its upper two vertices on the curve y=12-x^2.what is the largest area rectangle can have ?
- Could you differentiate this function? f(x)=6x^2ln(4x)
- Whats Find a formula for nth derivative to sinhx ?
- #y''+9y=0#, #y_1=sin3x# by using reduction of order method how can I solve this equation?
- #xy^2*(dy/dx)=y^3-x^3, y(1)=2# (its a initial value problem) Any kind soul here who can give the solution of this eqn?
- How do you find the average rate of change of f(x) = 5x/2+11x+14 from x=1 to x=7?
- What the anti derivative of #int(1/7-1/y^(5/4))#?
- Found with these during an exercise go QM need help cause solution is 6! don't know how tho! help please?
- Verify rolles theorem for the function f(x)=sinx ,in [o,pi]?
- If #x = yz# and #y = 2 sin(y + z)#, find #(dx)/(dy)#?
- Are there any functions which are unable to be differentiated?
- Discuss the differentiability of f(x)=x|x| at x=0 ?
- How to find f(x) = e^−6x using Maclaurin?
- Integrate sqrt(a^2+x^2) by putting x=atanthetha ?
- How do I solve this problem?
- What is the domain and rsnge of y=x^2-16÷(x-1)(x+4)?
- Find #d/(dx) x^(x^(x^x...)) ... # ??
- Find the length of the curve ? y = 1/2 (x^2 / 2 - lnx), 1 ≤ x ≤ e
- How to solve #f'(x) = 0# for #f(x)= ln(x) - e^(cos x)# over #0<x<=10#?
- Show that limit of log(2x-3)/2(x-2)=1 as x approaches to 2?
- What's the answer about #intsec^4xdx# ? THANKS.
- What the anti derivative of #int#(#sqrtx/2#+#2/sqrtx#)?
- How do you evaluate #\int ( e ^ { \frac { x } { 2} } - 4) ^ { 2} d x#?
- Find the point where the curve f(x)=1+x^2, has maimum curvature also find the value of maximum curvature ?
- Explain why the Chain Rule formula #dy/dx = (dy)/(du) * (du)/(dx)# is not simply the well-known rule for multiplying fractions?
- Integral from 0 to 1 of #-(7x+4)/(3x^2-5x+2)#?
- Find integration of sqrt(x^2-a^2) by putting x=asecthetha ?
- Find the bottom integral?
- What is the area bounded by the curve r = sqrt(ln theta) for 1 ≤ theta ≤ 2pi ?
- Integrate (x+1)^2(e^x)de ?
- How I should solve this #intsqrt(9x^2-16)/x^2dx# using trigonometric substitution?
- How to integrate #int 1/(sqrt(1-sin2x))dx# ?
- How do you find the equation of a line tangent to #y=x^2-x# at (2,6)?
- How to solve? Find an equation of the tangent line to the graph of the function f defined by the equation at the indicated locations: x^2 + y^2 = 9 a. x = 0 b. x = 3
- F(x)=(e^1/x +1)/(e^1/x -1) is function continuous at x=0?
- Find the limit of {4sqrt3-(cosx+sinx)^5}/(1-sin2x) as x approaches to pi/4?
- Find the points on the intersection of the paraboloid #z=x^2+y^2# and the plane #x+y+z=12# that are closest to the origin?
- What is the derivative of y=tan(2x+3)?
- How can I integrate #int 1/(x^4+x) dx# using partial fractions?
- #int dx/(x+sqrt(9-x^2))#?
- What is the derivative of -xsinx?
- The region R is bounded by the curves y=x² (x»0) , y=9x² (x»0) and the line y=1. Find the volume of the solid obtained when the region R is rotated about the y-axis?
- How do you integrate #int_3^4 1/sqrt(x^2 -9)dx#?
- What's derivative of cos^3(theta+10)?
- Prove that the following two lines are actually the same line?
- Lim((3(e^x-1))-3x)/(x(e^x-1)),x,0)?
- How do you evaluate the limit: [3^(3+h)-27]/ h, as h approaches 0?
- Help with finding the derivative using the difference quotient?
- What is the Derivative of log cosx to the base e?
- Consider the differential equation dy/dx= x^2+y^2 +1 with initial condition y(0)=0. use Eulers method to find the approximate values for y(0.1) and y(0.2)?
- #int_0^1 1/(x^2+1)# #=# ?
- How do I solve the following differential equation? # x + 3y^2sqrt(x^2+1)dy/dx = 0#, #y(0) = 1#
- What is the derivative of sin x^-1 ?
- Guys can you help me to solve this? By using product rule, find the derivative of #y=x^-2(4+3x^-3)#. Thank you for reading this
- Integrate (x^3e^x)dx?
- How do you find the difference quotient of #f#, that is, find #((f(x+h)-f(x))/h)#, #h != 0# for #f(x)=x^2-5x+7#?
- Differentiate y = sin^2x + cos^2x?
- #int_0^1(1-x)/(1+x)dx=#?
- Find the Derivative of tan(ax+b) by first principle method?
- How do you differentiate given functions using the product, quotient and function of function rules? y = (2x^-3 - 5x^2 )^-4
- Find The Following Integrals?
- Find the point where the curve f(x)=1+x^2,has maximum curvature also find the value of maximum curvature ?
- Find the derivative of this function. #y=(e^(3u)-e^(-3u))/(e^(3u)+e^(-3u)# How do I solve this?
- Integerate √x/1-x?
- #lim_(x->0){(1+x)^1/x -e}\x=#?
- How to find the limit #lim_(xrarr0)(sin5xcot3x)/(xcot4x )# using #lim_(xrarr0)(sinx)/(x )=1# ?any easy solution?
- How do you differentiate given functions using the product, quotient and function of function rules? #f(x) = 2x^3 cos 3x#
- How do you differentiate given functions using the product, quotient and function of function rules? #f(x) = (2x) / ( x^2 + 1 )#
- How does one solve f'(0) of the function f(x) = tan(x) ?
- Expand the series log(a+h) using Taylor's theorem?
- Evaluate the indefinite integral. (Use C for the constant of integration.)?
- How to differentiate #y=sin^-1(sqrt3x)#???
- How to use spherical coordinates to evaluate this integral?
- Find derivative of Y=xe^x logx?
- Solve #x^2y'' - xy' + (1-x^2)y = 0# using Frobenius's method?
- Evaluate the integral. ?
- Use L'Hopital's rule to compute the limit as x approaches 2: ? (xˆ4 - 4ˆx) / sin(pix)
- Evaluate the integral. ?
- Evaluate the integral. ?
- How do you differentiate given functions using the product, quotient and function of function rules? f(x) = root(3 x^3) ln 3x
- Evaluate the integral. ?
- Evaluate the integral. ?
- How do I find the second x-intercept of f(x)=2x-4sin(x) without using a graphing calculator?
- What is the derivative of y=8x/1-tan(x)?
- To evaluate the following limits, use the continuity of ln() and l’Hopital’s Rule? lim x goes to infinity xˆ1/ln(x)
- Evaluate following?
- Define the discriminant of the quadratic equation # Ax^2+Bxy+Cy^2 +Dx+Ey+F=0.# Use the discriminant to identify the graph of the equation #4x^2+y^2+8x-10y+13=0.# Also sketch the curve?
- How to solve #lim_(x->oo)( sqrt(x^3+x) - root(3)(x^2+1))# ?
- Integration of (2sinx +cosx)/(7sinx -5cosx) =?
- How to solve #lim_(x->prop) x sin (pi/x)=# ?
- If #lim_{x\to\4}(f(x))=0#, find the value of #lim_{x\to\4}(x*f(x))# ?
- Integration of 1/((1+x^2)*sqrt(1-tan-1x))?
- Find derivatives of 1/x^-1/2?
- Derivative by first principle of #tan(sqrt(x))#?
- What is the derivative of y=(csc(x)-1)^2?
- What is the derivate of #\lim_{x\to\infty} (sinx)^(x^2)# ?
- If #y=ln[x+sqrt(x^2+1)]#, check whether #(1+x^2)y_(n+2) + (2n+1)xy_(n+1) - n^2y_n=0# is true or not?
- Help me integrate #int(xe^x)/(x+1)^2dx# (so hard)?
- Maths is this questions answer below?
- Integration of 1/1+e^x=?
- Evaluate the following?
- Lim n tends to infinty [{(1^2+2^2+3^2+...n^2)(1^3+2^3+3^3+...n^3)}/(1^6+2^6+3^6+...n^6)]=??
- How can we find derivative of y=sin2x/cos²3x.please help??
- Find the open interval on which the function is increasing and decreasing and find the local and absolute extreme value????? f(x)= xLnx
- How do you integrate 2ln 3x dx ?
- What is the second derivative of sin (e^-x)?
- How do you find the equation of the tangent to x^2+y^2 = 25 at the point (5,0)?
- How can I integrate log base e y divided by sqrt y?
- Differentiate from first principal f(x)=√3x+4?
- Partial differentiation of e^xy with respect to x?
- Find an equation for a line that is tangent to the graph of y=e^x and goes through the origin ?
- What is #lim_(xrarr0^+) x^(sqrtx)# ?
- #lim_(xrarr1)sin(π/(x-1))##=#?
- Prove #lim_(x->oo)sinx/x=0#?
- Use definition of derivative to find derivative of #f(x)=3x^2-4x# then find all points #(x,y)# on the graph of #f(x)# with tangent lines parallel to the line #y=8x+5# ?
- Find the value of limit of {1+2+3+......to (3n+2)terms}/(n+1)^2 as n approaches to infinity?
- Putting z=x-pi/4 show that limit of (1-tanx)/(1-sqrt2 sinx)=2 as x approaches to pi/4?
- Derivative #x/(sinxcosx)#?
- Integral of Inverse of Cos(1/x)?
- Find the values of constants a,b,c so that the graph of y=ax^3+bx^2+cx has a local maximum at x=3, local minimum at x=-1 and inflection point at (1,11) ?
- Integrate 1/1+e^x at limit 0 to infinit?
- Lim without using de l'hospital method.. could you help?
- Limit of (ax^2-b)/(x-2)=4 as x approaches to 2 find the value of a and b?
- Dy/dx y:ln (ln(x))?
- Find dy/dx of y= x^3(sin x)^cos x ?
- Find the Maclaurin series? please see image attached
- Find Maclaurin series for f(x)= 1-cos(x^9)/x^5?
- If f(x)= (x^2)-4 and g is a differentiable function of x what is the derivative of f(g(x))?
- How do you figure this out? Help?
- How to resolve #lim_(x to oo)root(4)x e^(-2x)#???
- Optimization for Max Volume of a Cone?
- What is the area of the region bounded between the graphs of y= -x^2 + 8x and y =x^2 + 2x?
- Evaluate the indefinite integral. (Use C for the constant of integration.)?
- If f(x)=sin(x^2 +pi), then f’(square root of 2pi)=?
- Write an integral which represents the volume of the solid obtained by revolving this region around the line x=0. Help?
- What's the area bounded together by the equations; y=#x^2# and y=mx ?
- Lim (x^3-8)/(sin(pi*x)) x-> 2 Help me please ???
- What is the integral of #int 1/(sin^2(2x)) dx# ?
- How many critical points does the function #f(x)=(x-2)^5(x+3)^4# have?
- Hi ! How do you find #int_0^1(x-1)^2exp(x)dx# ? thank you !
- Integrate #\int_{ln(2)}^{ln(8)} \frac{e^x}{1+e^x}#?
- What is the value of #\lim_{n\to\infty}(1+\frac{1}{n^2})^n#?
- Question: #(xtan(y/x)+ysec²(y/x))dx = xsec²(y/x)dy# What is the Differential equation of the above equation ?
- Find the Maclaurin series for ln(4-x) and find its radius of convergence?
- How do you find lim x→π/2 of sin x−1/x ?
- How do you find the limit of #sin(2x^2)/(sin(2x)^2)# as x approaches 0?
- How do you evaluate #\int \frac { x ^ { 3} + 2x ^ { 2} + 1} { ( x - 1) ( x - 2) } d x#?
- How fast is the volume of a cylinder changing with respect to the radius when the radius is mm and the height is a constant 5mm?
- What is Limit [x]/x for x tends to infinity ?
- What is the tailor series for f(x)= sinx at a=pi/4?
- How to integrate #intcot^(2)3tsec3tdt# using by parts method?
- Integration of 1/(x²+1)³ ?
- #intx^2sqrt(9+x^2)#?
- In a limit, what is the difference between #lim_(x->a)#, #lim_(x->a^-)#, #lim_(x->a^+)# where #ainRR#?
- How do you find #tan (pix)/x# when x approaches 0?
- Prove #lim_(x->oo)(1+1/x)=1#?
- Putting x=theta-pi/4 show that limit of (sintheta-costheta)/(theta-pi/4)=sqrt2 as theta approaches to pi/4?
- How do you find the derivative of ln((e^x)/(e^x-1))?
- Could I get this solved?
- Limit x→90°tanx does not exists?
- How to integrate 1/e^x+e^-x ?
- Can you find the area of the regions enclosed by the lines and curves?
- Convert y^2 dx + xy dy = 0 in to an exact differential equation?
- #intsin^-1(3x)dx#?
- How among all rectangles with perimeter p, the square has the maximum area? show you work.
- Find the integral ?
- What is #int e^xsec^2(e^x)dx#?
- Find the derivative of the function y = -3x⁴ + 2x^-2 + x - 2?
- Find the following integral?
- Suppose that f is a continuous function defined for all real numbers x and f(-5)=3 and f(-1)=-2. If f(x)=0 for one and only one value of x, then which of the following could be x? A) -7 B) -2 C) 0 D) 2
- Determine the equation of the line tangent to the graph of the function?
- Compute Taylor's polynomial at the given degree and point? f (x) = sin(x) of degree 3 at a = pi/2.
- Find the limit as l'Hopital's rule does not work here? lim as x->infinity (x+cos(x)) / (x - cos(x))
- How to find the total differential of a function z=ln(y^2-e^(-x))?
- Find the area between the curve y=x^2_4 and x_axis ?
- Integration of x^2/(1-x^2)^(1/2)=?
- How to graph this Lim1/x^2, x=0? thanks
- Evaluate the integral. ?
- What is #intcos^3xdx#?
- Prove the inequality below.?
- F(x)=exp(x)[6-exp(x)] ? many thanks
- lim((2x+1)(ln(3x+1)-ln(3x-2)))? x approaches to infinity (Answer should be 2)
- Obtain the first order differential equation which involve both y and y'?
- Estimate the value of the integral? using Property 8: If m≤ f(x) ≤M for a≤ x ≤b then m(b-a)≤ ∫a^b f(x) dx ≤M(b-a)
- What is the area?
- How to find this answer?
- What the derivative of #1/x#?
- Find the function with the given derivative whose graph passes through the point p g'(x)= #1/x^2#+2x ,p(-1,1) HELP ME PLEASE??
- If e^(x+y)=xy dy/dx=?
- Please help ?
- How do you find the derivative of #y= 3\sin x + \frac { \cos x } { 2x }#?
- How do you evaluate an integral with an absolute value? Question below.
- Help me sos?
- What is the value of #lim_(xrarr0)((x+32)^(1/5)-2)/x#?
- Diffrentiation of x log (xcosx)?
- Show that limit of (4^x-4)/(x-1)=8log2 as x approaches to 1?
- Integral of #sqrt(1+x^4)#?
- How do I do this problem? I do not even know how to start, or what it is asking me
- (calculus)For a certain value of the constant k, the graph f f has a point of inflection on the x axis find this value of k.?
- Y(x) = sin x. ln(x) ?
- Could you please show me how to do this?
- How to integrate this #int((dr)/((r+1)(sqrt(r^2+2r))# using trigonometric substitution?
- What is the Maclaurin series expansion of cos(sin x)? Would really appreciate it if it is a detailed solution. Thank you!
- THE limit of this function as x tends to 0 ? is there a specific way to solve it please help?
- What is the limit (do not use L'Hopitals rule)?
- Evaluate lim (x to 0) sin 5x - sin 3x / sin 4x - sin 2x ?
- If g(x)=1-x^3, find g'(0) and use it to find an equation of the tangent line to the curve y=1-x^3 at point (0,1)?
- Could you please answer ?
- Volume/using of washer, need help! What did I do wrong?
- Please help me ?
- Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) =ln(x) [1,8]
- Find all points on the graph of y=x^3-3x where the tangent line to the graph is parallel to the line y=24x+15?
- Write the sum using sigma notation?
- #int1/(x(x^2+1)^3)#?
- Help please? Integral question below. Don’t really understand the concept of integrals in general. Thanks!
- #f'(1)# for #f(x)=x/sqrt(x^2+1)#?
- Show that limit of #{(n+1)^(1/3)-n^(1/3)}=0# as x approaches to infinity?
- Show that limit of #sqrt(x){sqrt(x+2)-sqrt(x)}=1# as x approaches to infinity?
- How do you calculate the following a) the area of R b) the volume rotating R about the x-axis c) volume rotating about y-axis?
- Area under the curve?
- Show that limit of log(1+2x)/sin3x=2/3 as x approaches to 0?
- What value of k makes the following function continuous?
- #d/dx (x^x)?#
- Is that any examples that can combine function, limit, differentiation and integration into one?
- How I can solve this problem?
- Find the slope of the parabola y = x2 at the point P(2, 4). Write an equation for the tangent to the parabola at this point?
- Find the derivative using the derivative rules ?
- How are continuity and differentiability related?
- How do I evaluate each limit? lim x->-2 3x+6/|x+2|
- How do I Differentiate each function with respect to x? f(x)=(4x^3+5)•e^x^2
- How to find the derivative of 4x^2 + x using the limit process?
- Can you integrate by multiplying the two functions being integrated?
- Find the value of limit sin(x^2+4x)/(x^3-5x^2+2x) as x approaches to 0?
- Can you find the limit? #Lim_(xrarroo)xe^(-x/2)#
- How do I evaluate the limit? lim->6 -2/x^2-36
- A rectangular box with a volume of #540 ft ^3# is to be constructed with a square base and top. The cost per square foot for the bottom is 15 cents, for the top is 10 cents, and for the sides is 2.5 cents. What dimensions will minimize the cost?
- What is the derivative of 5(cos^2 x)? How do I apply the chain rule? Please and thank you.
- Why do we need to use chain rule in the differentiation of sec(tan x)?
- Is it converges or diverges?
- How do you evaluate #\int \frac { - d t } { \sqrt { t ^ { 2} + 1^ { 2} } }#?
- What are the limits for this graph?
- Determine the critical points for the function? f(x)=#sqrt(2x-x^2)#
- Pleas can you help to? find the absolute minimum and maximum of f(x)=x^2/3 0n [-2,3]?
- How do you evaluate #\int _ { 0} ^ { 1} \sqrt { 2+ x ^ { 2} } dx#?
- How do you evaluate #\int _ { 0} ^ { \infty } [ \frac { 2} { e ^ { x } ] ] d x#?
- How do you evaluate #\int \tan ^ { - 1} \sqrt { x } d x#?
- What is the inflection point f(x)=8x+2-sinx , 0<x<3pi?
- Hi ! How do you find this integral ? #int_0^2xsqrt((x+1))dx# ? Thank you !
- Evaluate the integrals?
- Suppose a snowboard manufacturer will sell q snowboards per week when charging p dollars per snowboard where q= (600−p)^3. Find the price the company should charge to maximize revenue? (Recall:R=pq, revenue equals quantity times price.)
- How do you prove #sum_(x= 1) ^n r^3# by induction?
- Determine all critical points for the function???? please help me #x^2-6x+7#
- How do you find the limit of #sqrt(x)^sqrt(x)# as x approaches 0 from the right?
- Find the derivative using the derivative rules?
- Determine the slope of y=a+2bx^2?
- Construct a box whose base length is 3 times the base width. The material used to build the top and bottom cost $10/ft2 and the material used to build the sides cost $6/ft2. Volume of the box is 50 ft3, what are the dimensions that will MINIMIZE the Cost?
- Solve dy/dx = 1+ 1/y^2 ?
- A box with an open to is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners and bending up the sides. find the largest volume that such a box can have?
- Sand pours from a chute and forms a conical pile whose height is always equal to its base diameter. The height of the pile increases at a rate of 5 feet/hour. Find the rate of change of the volume of the sand..?
- How many inflexion points does this function have?
- Integral of (√cos2x)/cosx dx?
- Calc BC how to compare values of definite integrals?
- How do you integrate sinh^3(x) dx?
- Int_{(x^2+1)[log(x^2+1]-2logx]}/x^4 dx Integrate with respect to x??
- Find the value of limit #{sqrt(1+x^2)-sqrt(1+x)}/{sqrt(1+x^3)-sqrt(1+x)}# as x approaches to 0?
- Find the value of limit (cosah-cosbh)/h^2 as h approaches to 0?
- Find the value of #lim ((cosx)^(1/2)-(cosx)^(1/3))/sin^2x# as #x# approaches #0#?
- Interval in which f(x)=x^2+3x+2 decreases is ?
- What will be the solution of the mentioned problem?
- How can we integrate 1/sin x?
- What is the antiderivative of the function, f'(x)=#sqrtx#(6+5x), and f(1)=10?
- How to differentiate 2x+4e^4x/2-e^x ?
- How do you find the Limit of (ln(A+e^cx))/x as x approaches infinity? A and C are constants, c,a>0
- Derivative of Cos hy ?
- How would one go about finding the convergence or divergence of the series #n^2*(-4)^(n+1)/((n+2)!)# ?
- Simplify (integral of log y dy) = (integral of x^2 dx). How do we integrate an equation with 2 variables?
- Evaluate the given limit and find the value of ' a ' and ' b ' ?
- Can someone help me understand how to integrate using two variables? please do not explain using trigonometric substitution because that so far has confused me. thanks in advanced <3
- A farmer wishes to enclose a rectangular plot using 200 m of fencing material. One side of the land borders a river and does not need fencing. What is the largest area that can be enclosed?
- How do you solve #2 on the extra 4.1 practice sheet?
- Please help me with the sum below?
- How do you do this question?
- How do u determine if the series converges? 1/(4+ln1)+1/(4^2+ln2)+1/(4^3+ln3)+...+1/(4^n+lnn)
- How do I solve this complex variable? please help.
- write an equation in slope intercept of the line that passes through the given point and is parallel to the graph of the given equation? (2, -2) ; y = -x - 2
- #sum cnx^n=1+3x+x^2+3x^3+x^4+3x^5+...# Here c2n=1 and c2n+1=3 for all n=0,1,2,.. Find a formula for this series and use it to determine for what values x it converges?
- A sheet of cardboard 3 ft by 4 ft will be made into a box by cutting equal-sized squares from each corner and folding up the four edges. What will be the dimensions of the box with the largest volume?
- A farmer w/ 750ft of fencing wants to enclose a rectangular area then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?
- Solve the differential equation #dy/dx=ytan(x)#?
- What is the definite integral?
- What is #int_0^(1/2)sqrt(x)/sqrt(1-x)# if #sqrt(x)=sin y#?
- If #f(x) = [g(x)]² # calculate #f'(x)# in terms of #g(x)# and #g'(x)# ?
- Find the equation of the tangent to f(x)=e^-x at the point where x=2?
- How to prove that #f# is continuous?
- What is the indefinite integral?
- Show that #lim_( x->a) (x^(3/8)-a^(3/8))/(x^(5/3)-a^(5/3))=9/40 a^(-31/24)#?
- Help me to solve the mentioned problem?
- How to Integrate #int1/((x-1)^3*(x+2)^5)^(1/4)*dx#?
- How to solve the following ??
- Show #lim_ (x->2) {(1+x)^n-3^n}/(x-2)=n.3^(n-1)#?
- What is the answer?
- Derivative of sec^2*3x?
- Evaluate lim y-0 [ (sin^2 Times 3y - 3y^2)/ y^2 + y^3)] ?
- Differentiate #s=(1+sint)/(1+tant)# using the quotient rule?
- Y=cos^10x ? differentiate by chain rule
- Prove that the derivative of sinx^2/(1+cotx)+cosx^2/(1+tanx)=-cos(2x)?
- Find all points of relative minima and maxima given the interval f(x)=-10/x^2+2?
- Use u substitution to compute the integral from 0 to 1 of x*sqrt(1-x^4)dx?
- How do find all points of relative minima and maxima?
- How do you derive # d/(dx) ( x^n )#?
- Consider the function U defined on R^2, where U(x,y) = sq rt (3x + y). Which of the following statements is true? 1. U is strictly concave 2. U is strictly quasi-concave 3. U is both strictly concave & strictly quasi-concave 4. U is both concave & quasi
- What the second derivative? #x^(2/3)+ y^(2/3) = 1# Help me please
- Derivative of log (e^x cos.x) ?
- Derivatives Of Complex Integrals?
- Integral question, please help?
- Help with a sum?
- Critical points of f'(x)=3+cosx-sinx?
- What the slop? at (2,1) of x^4y^4=16
- Vectors with head pointing to the left?
- Could someone help me to do the mentioned equation,please?
- 2 integral questions, help?
- Answer this one for me please lim x /x+5 as x goes to -5 ?
- How to use substitution to solve this integral? #∫_0^1dx/(sqrtx+5root(3)x)#
- Can anyone find the value and if possible show every step? Thanks in advance.
- How to integrate log(log x)/x dx?
- Solve the equations (x^2 + y^2) dx - xydy = 0?
- Primitive function of #(x+1)^(2/3)# ?
- Dy/dx = 3+2y ? Solve the differential equation
- Evaluate lim y-0 [ (sin^2 Times 3y - 3y^2)/ y^2 + y^3)] ?
- How to integrate sec^2 x dx / tan x ?
- Can this be solved? #int ((sqrtx+1)/(2sqrtx))^4dx#
- How do i prove existence of continuous function(difficult with logarithms, urgent)?
- F(x) = ((x^2)+4)/2x a)find x and y intercept b) inertval where f is increasing or decreasing c) local maximum and minimum points if any d) intervals of concavity and inflection points if exist?
- How do you find #\int [ 3\sin x - 2\sec ^ { 2} x ] d x#?
- What Is calculus? Is it simple or complicated? Does it have a formula one or more? What is its importance in real life?
- Solve the equation #(3x +1)dy/dx +9y = 3/(3x + 1)# ?
- Given the function #f(x)=x^3-3x+2#, how do you verify that #f# satisfies the hypotheses of the Mean Value Theorem on [-2, 2]?
- If #y=e^(-2x)sin(5x)#,show that #y” + 4y’ + 29y =0# ?
- If #f' (u)- 4(cos u sin 2u)#, and #f(pi/6) = 11#, what is #f(u)#?
- Find y' if y =sinx/2x-1 ?
- Solve the differential equation dy/dx=2y-4?
- Need help...Consider the function f(x)=4−4x^2/3 on the interval [−1,1]. Which of the three hypotheses of Rolle's Theorem fails for this function on the inverval? (a) f(x) is continuous on [−1,1]. (b) f(x) is differentiable on (−1,1). (c) f(−1)=f(1)?
- Is the lim exists when #lim_(x->0) f(x)= +- oo?#
- How do solve the following integral? #int(t+7)^2/t^3dt#
- If f'(x)= sec^2x+cosec^2x-1 and f(pi/4)=1 , find f (x) ?
- Could someone explain the idea of derivatives in the simplest way possible to me with examples, please?
- How do you evaluate #\int x ^ { 4} \sqrt { x ^ { 2} - 4} d x#?
- How do you evaluate the integral of #int1/(x^4sqrt(x^2-4))#?
- Use cylindrical shell method to find the volume of the solid obtained by rotating the region bounded by the given curves x^2=y and y^2=x about y=-1?
- Find y' if y=x tan x-2?
- How do you evaluate #\int \sqrt { x ^ { 3} } \cdot d x#?
- Find dy/dx by implicit differentiation if : x cos y=y?
- How do you integrate #\pi \int _ { 0} ^ { 2} ( \frac { y + 2} { 3} ) ^ { 2} d y#?
- Lim x approaches 0 (Cos 3x - cos 7x)/x^2 ?
- How do i do this ? It says Use implicit differentiation to find dy/dx if xe^y-10x+3y=0
- #lim_(x to 0) ((a^x+b^x+c^x)/3)^(1/x) =#?
- How do I do this problem? What formulas do I use?
- What is the answer about #lim_(xrarr0^+)arctan(2x)/lnx# ? THANKS
- How do you find #\int _ { 0} ^ { x } ( 1- 0.1x ) ^ { \frac { 1} { 2} } d x#?
- Show that the differential equation 3x(xy-2)+(x^3+2y)dy/dx=0 is exact and find its solution?
- Integration of (sen 8x) / (9 + sen 4x) ?
- If #y=1/(2x-5)# find #(dy)/dx# at #x=2#?
- How to Find the area of the region bounded above by y = 2, bounded below by y=2sinπx, and bounded on the sides by x = 1 and x = 2. ?
- 2x/(x^2+1)+(x^2+2)^2 dx intregrate ??
- Equation of this tangent line question, could someone please check my answer attempt and also, for what values of x is the function increasing?
- Calculate Newton's method to approximate the given number correct to eight decimal places?
- A 25-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away from the wall at a constant rate of 4 feet per second. How fast is the top of the ladder sliding down the wall when the bottom is 15 feet from the wall?
- Could you please answer this question below?
- How to find the derivative of? f(x)=ln 1/e^x^2
- D/dx of cos^2x-sin^2x?
- Integration of (sen 8x) / 9 + sen 4x ?
- How do you find the differential of the function #y dy/dx=(x+3)(y^2+3)# ?
- ∫x/1-cosx dx = ?
- What is the gradient of the tangent to the curve of #y=x^3-3x# at the point where #x=5#?
- In Exercises 9, a graph of a function f(x) is given. Using the geometry of the graph, evaluate the definite integrals?
- How do you prove that #int_0^1x^xdx# is between 0.69 and 1? Thanks!
- Find the Taylor series centered at the origin for the function f(x) = x*cos(2x)?
- What is the answer about #intx^2sqrt(2+x)dx#? THANKS
- Integration of x³/√(1-x^8)?
- What is the limit #(x^n)/n# as x and n approach zero?
- How do you evaluate #\int \frac { 2x d x } { ( x + 1) ( x + 3) }#?
- How to use Fundamental Theorem of Calculus. to solve this?
- How to do this integral question?
- Please solve the differential equation by monge's method?
- What is the displacement of this question?
- How to evaluate this indefinite integral #∫[10sin(x)]/[1+cos^2(x)]dx#?
- What is the value of this integral #∫_0 ^10 |x−5|dx# ?
- How do you evaluate #\int \frac { 1} { \csc x - 1} d x#?
- Integrate (x^3+5)lnxdx ?
- Using differentials, find approximate value of #(0.009)^(1/3)#?
- A new born child grows at a rate of #4/sqrtt# pounds per month for the first 12 months (#t>0#). How many pounds does the child gain between the 1st and 4th month?
- How is the derivative calculated? Please help.
- How do you integrate this equation?
- find the particular solution that satisfies the initial value problem: 𝑦′ = (sin 𝑥)(sin 𝑦), 𝑦(0) =𝜋/4 ?
- What are the critical points of f(x) = arcsin(x), so that I can find the max and min?
- Find the function with derivative f'(x)=e^8x that passes through the point (0,3/8)?
- Y= cos(arctan×) derivative please?
- Integral dx/a^2sin^2x + b^2cos^2x ?
- How do you find the derivative of #y= \frac { 7} { 2} ( \frac { 1} { 2} \ln \frac { x + 1} { x - 1} + \arctan x )#?
- Consider the plane 3x-7y-z+7=0 a) State any point on the plane b) State any direction vector of the plane c)is the point (-2,-1,8) on the plane?
- Second order derivative of #x^3+tan x#?
- How to integrate from 4 to 0, (x)/(1+2x)^1/2 dx ?
- Find limit as x approaches 0 ?
- What is the limit of (a^x)/x as x approaches 0? Can this limit be calculated using LH Rule?
- How to integrate this function: sec(a*theta) * tan(a*theta) dtheta when your u = a*theta ?
- How would i rite down the following finite sum using sigma notation? 1 - 1/4 + 1/9 - 1/16 + ... + 1/81 - 1/100.
- Fourier Analysis. #f(x)=x^2 (-1<x<1), p=2# (How about #f(x)#.?)
- How to differentiate y=(lnx)^(1/lnx)? thank you
- How find derivative?
- Using a crankshaft, a carpenter drills a hole ,1 cm in radius, through a wooden ball along a diameter. If the radius of the ball is 4 cm, what is the volume of wood remaining? .
- How do I find the general solution to this differential equation?
- Lim(x/x+2)^2x =? X-0
- Find the point of inflection on the curve y = (log x )^3 ?
- G(x) =2x^2-9 on [4,b] find the average rate of change ?
- Find the value of c ? Is the funcation defferentiable at c? Explain
- How do you find #\lim _ { x \rightarrow 3} \frac { x ^ { 3} - 27} { x + 5}#?
- D/dx of (x - 1\x)^2 ?
- Integration of dx /((e^2x)-1)1/2?
- Evaluate.limit x tends to 0 sin.x^2 (1-coso. x^2)/ x^6 =?
- D/dx of [(x^3 + 1)(x - 2)/x^2 ?
- Find an equation for the line tangent to the graph of f(x)=(e^2x)/(5x+8) at the point (2,f(2))?
- Show that #n^x + (n + 1)^x = (n + 2)^x# has a solution in #[0, ∞)#?
- How to evalute int(x+m)^n dx ?
- Find f. f '(t) = 8 cos t + sec2t, −π/2 < t < π/2, f(π/3) = 5?
- Determine the increasing intervals and the decreasing intervals?
- Differentiate the following with respect to X? Y=e^3x+√x^2-4 +5
- Where to ask linear algebra and multivariable calculus in socratic?
- What is the indefinite integral of the following?
- Find the median value of function #f(x)=x^2#, in the interval #[-1,1]#?
- What is the limit of (sin^2 theta)\(theta) as theta Approach to x ?
- Rotate region bounded by given curves y= 7-x^2 by the x-axis when (x = -2, 2)?
- Can you please differentiate y=1+x/2-x using quotient rule? thanks.
- How do you solve this integral?
- how to find the maximum and minimum?
- Derivate Y= cos^3(2x)+Sin(3x) Could you help me solve? Thanks in advance
- What is the 11th partial sum of #sum_(i=1)^∞ -7i+22#?
- How do you use series to solve this?
- Find from first principle, the differential coefficient of sqrttanx ?
- X+y=-2 and xy=1441 what is the value of x and y??
- How many hours after the start will the instantaneous growth rate of the population be 200 cells per hour?
- Find the limit of cos(2*pi+1)/(pi*x) as x→inf ?
- Differentiate y=√x^2+√4x-√3 ?
- Prove that Integral of 2/((e^x + e^-x)^2) dx = (-e^-x/(e^x + e^-2) ) + C ?
- Reduce the differential equation to homogeneous form and solve it? Dy/dx = (x+2y+3)/(2x+y+3)
- How can we evaluate this integral?
- What is the answer?
- Differentiate the following with the respect to #x#:?
- How can I solve this problem using differential equations?
- How do I solve (y+x²y)dy + (x+xy²)dy=0?
- Limit? Lim x->2 #( x - 2) / ( sqrt ( x - 1) + 2 root(4) ( x - 1) -3#
- Difference between local and absolute exterma?
- Suppose a rectangular box with an open top must have a volume of 200 cubic meters and a base width equal to twice base length. Find dimensions of box to minimize material cost?
- Valuate integral of x^4-2x^2+4x+1/x^3-x^2-x-1 ?
- How can show that g(x) = #(1-x)/x# is the inverse of f(x)=#1/(1+x)#? And how would you find g'(x) and confirm that g'(x) = #1/(f'(g(x))#?
- How do I find the #lim_(x to 6) (5x)/(3+x^8)#?
- What is the equation of the tangent line of #f(x)=ln(2x)-3e^(x^2)# at #x=4e#?
- Can someone help me with logarithmic differentiation?
- How to do the Integration of dx/x(x^5+3)?
- where does #(e^x+2)/(e^x-1)# increase and decrease over # ]0,+oo[ & ]-oo,-0[# ?
- What's the value of the two#?# ? I don't understand what's the question is asking actually and have no idea on what method to use to calculate. :(
- What is the Derivate of ln(sqrt(x^2+1)-x)?
- How do you integrate: int (ln x)^2 ?
- How do you find the limit of #lim_(x to 0) (sin^2(x)/x)#?
- Find the coordinates of the point on the curve y=x^3-8x at which the gradient of the curve is 4?
- How to find limit of (3e^x - e^-x -2)/x if x approaches 0?
- Consider the equation below.? f(x) = x^3 − 3x^2 − 9x + 5 (a) Find the interval on which f is increasing. (b) Find the local minimum and maximum values of f. (c) Find the interval on which f is concave up and down.
- What is #int tan^2 (2x) dx#?
- Is it true that there exists a convergent #\sum_{n=1}^\infty a_n# so that #\sum_{n=1}^\infty cos(a_n)# converges?
- How do you evaluate the limit sin^3(2x)/2x^2 as x approaches 0 ?
- Lim e^x-x^3 with x approach -infinity?
- #int cos (x^2)# without trigonometry?
- 2 boats leave the same port at the same time. One boat is traveling north at 35 mph and the other boat is traveling east at 40 mph. How fast is the distance between the two boats changing after 2 hours? (Hint: don’t forget d=r•t )
- Where p is the density of the bone and k is a positive constant. If x=r/R, show that m is a minimum when r=0.63R?
- How to integrate? #int 2e^x+2e^-x dx#
- Find the area bounded by the two graphs, #y=sqrt(x)# and #y=6-x#, and the y-axis?
- (tan^2 x)/ (x) limx->0?
- Area under the curve of x^3 from -1 to 3 with Summation?
- Find the derivative of y=2x^3+5x^2-7x-4 from definition of derivative?
- How do you find the limit of (sin2x)/(x(pi+x)) x as it approaches -pi?
- Integrate tan^2x/(1-sin^2x) ?
- how find lim as x->infinity? :(
- What did I do wrong with my integral substitution on x^3*(x^2+16)^(1/2)?
- Is #f(x) =(x+2)^2/(x-1)# concave or convex at #x=-1#?
- #y=x^2e^(-x)# has a maximum turning point at #A(2,4/e^2)#. The equation #x^2e^(-x)-2=0# has 3 real, distinct roots. What are the possible values of #k#?
- Find the equation of the tangent to the curve #y=ln(3x-2) + 4# at the point where #x=1#?
- What is the area enclosed by the circle r= cos (theta) and the cardioid r= 1- cos (theta)?
- Express #lim_{x\to \infty} \sum_{x_i=1}^{n}[x_i^{2}+x_i\cdot \cos x_i]# as an integral in the range #[0, \pi/2]# and compute its value. Please help me?
- A box needs to be constructed such that the perimeter of the bottom is 60 inches and the height of the box is 10 inches.Find the dimensions of the box that maximize the volume?
- A poster has an area of 180 in^2. If there are 1 in margins at bottom and sides and a 2 in margin at the top, what dimensions will maximize the printed area on the poster?
- Find the equation of the tangent line at the given point? 4cosxy=sin2x at (1,1)
- Y=3sin(2π-x)+2 tan x , find dy/dx at x=π ?
- How do we show that the line x+y=6 is tangent to the curve x^2+y^2=18?
- Differentiate #x/(x^2+y^2)#?
- D/dx (tan 30°)?
- How do i check if # \sum _{n=1} ^\infty \frac{1+(-2)^nsin(\frac{1}{n})}{\sqrtn * 2^n}# absolutely converges or just converges?
- How to use implicit differentiation to find y’? Evaluate at (1,-3). 2xy+y^2=3x^2
- Derivative of #y=(1+sqrtx)/(e^sqrtx)# at #x=1# ?
- Estimating Area Without Integration?
- A method for calculating the implicit derivative of the following?
- Is #f(x) =(x-2)^3/(x^2/3+1)# concave or convex at #x=6#?
- What is the value of #(dy)/(dx)# when #x^2y^3=(x+2y)^5#?
- Differentiate y= (x+1)^5 ?
- Integral x^2+3/(x+1)^2 (x-3)?
- What is the formula for the nth-order Taylor polynomial for f centered at a?
- Is it true that if #\sum _{n=1}^\infty |a_{n+1}-a_n|# converges then #(a_n)# must converge?
- Derivative of log_3(1+xln3) ?
- If x^2 y=a cosx, where a is a constant, show that x^2 (d^2 y)/(dx^2 )+4x dy/d +(x^2+2)y=0 ?
- How do you solve for ∫tan^5(2x)sec^6(2x)dx?
- Find all functions #f(x)# that verify this # f'(x)=f(2-x)# where #f'(x)=# derivative of #f(x)# many thanks ?
- A curve is such that dy/dx=8/(5-2x)^2. Given that the curve passes through 2,7 Find the equation of the curve. I want to know that how do I know i have to solve it through integration or differentiation etc how to solve it?plz tell when to integrate
- Answer please?
- How do you find the derivative of e^y=ln(x)+sin^3((3x-5)^(1/2)) ?
- Series#sum_(n=0)^oo(-1)^n n/(n^2+1)# is absolutely convergent ,conditionally convergent or divergent?
- How to solve this Definite Integral ?
- How would I find the limits of the function below?
- How do you find the limits of the function below?
- If x^2 y^2 - xy =2 , find the value of dy/dx at (2,1)?
- Int of x^3+x+2/x^2-4 ?
- Find the area of the region bounded by the curve y=x^2-3x+4 ,x=1 and x=2 , and the x-axis?
- Water flows from the bottom of a storage tank at a rate of r(t) = 210 - 5t liters per minute?
- 5.integrate x.exp(-ax^2)rd?
- What is the derivative of #f(x) = isin(ln(ix))#?
- Can someone please explain what is the domain and range of the following function ?
- D/dx(sin^4(cot^-1(1-x/1+x)^1/2)))?
- How to proof the sequence #C(n) = ln(n)# diverges to #+oo# for #n->oo#?
- For the function f(x) = 1+ √x / e^√x Find the first derivative at x = 1 ?
- What's the integral of #intdx/(xsqrt(4-9ln^2x))# ?
- What is the integral of #int(sin8x)/(9+sin^(4)4x# ?
- How can I integrate sin(log x)/x ?
- Find the dy/dx at t=2 ? , if at x=t+ln t and y=(t-1) ln (t-1)
- Determine 1.Lim x approaches 4 (5x^4-4x^2-1)/(10-x-9x^3) 2.lik x approaches infinity x^2.e^-x 3.lim x approaches 0 (cosx -1)/x^2 4.integrate sec^3.x dx ?
- Differentiate from the first principle y=√x ?
- How do you find the derivative of the function #y=1/(sqrt(1-x))# using the first principles?
- How to integrate, #inte[e^3x sin(2x)dx]#?
- Sketch the region enclosed by the curve and calculate it's area?
- V=1/4 t^8-2t^4+3t^2,where t is not less than 0, how to find dv/dt?
- What is the limit of #√(x+1)# as x approaches -1?
- Evaluate the #int_0^x(xsinx)/(1+cos^2x) dx#?
- If g(x) - 3x^3-5 then the limit as x->0 g(x)-g(0)/x^3 is ?
- Find the equation of the plane passing through the line of intersection of the planes #3x - y + z - 2 = 0# and #x + 2y - 4z + 1 = 0#, and satisfies the given conditions?
- What is the derivative of #sin^5(lnx)# ?
- Find the volume of the solid generated by rotating the triangular region with vertices at the points P : (1, 1), Q : (3, 1) and R : (2, 2) about the x-axis. ?
- How do you integrate #int sec^3(x)tan^4(x)dx# ?
- If y = ax^n+1 + bx^_n then show that x^2y d^2y÷dx^2 = n (n+1)y?
- Show that the equation x^6+x^2-1=0 has exactly one positive root. Justify, name theories you use and properties of f(x) that are applied. Please help! Are you supposed to use Rolle's ? I just don't get it - f'(x) is NOT >0 for all x
- Find the general solution of the differential equation, (linear-second order equations!), y″+2y′-15y=(1-2x)e^(3x) .?
- For what values of x is # f(x) = -x^4-9x^2-x+5 # concave or convex?
- What is the derivative of #f(x)=x^3e^cosx# ?
- Evaluate lim x->0 [1/(x/√x)]*[a*arctan((√x)/a)-b*arctan((√x)/b)]?
- The value of limit ?
- Find better approximation to cube root of 17 using Newton's method once?
- What is the integral of #int(e^(2x)-1)/(e^(2x)+3)# ?
- How do i prove that exists #f: N \to N# injective, so that #\sum_{n=1}^\infty (-1)^{f(n)}ln\frac{f(n)+1}{f(n)}=ln2017#?
- What the limit of cot(x)-1/4x-1 as x approaches Pi/4?
- Find the inflection points of f(x)=4x^4+22x^3−18x^2+8 ?
- Why is the derivative of #e^x=e^x#? Just out of curiosity.
- D/dx(cosax) ?
- F(0) is?
- Find the derivative of #x + sqrtx# using first principles, the long way. Help?
- Can anyone please help me to solve this question?
- Ex with lim: #lim_(x->4) ((sqrt(2x-7)-1)/(sqrt(x-3)-1))# ?
- Find the derivate of y=2e^x-e^(2x)?
- Integration of 1/(1+cos^2x) is what?
- How do you solve #int 1/(9+x^2) dx# ? Thank you!
- How do I use Taylor expansions to show that #e^(itheta) = cos(theta) + isin(theta)#? Using this, what is the value of #e^(ipi) +1#?
- Δt is small time, so y(t) stays constant this time. Presume that you know value y(t) and calculate using it the following y(t+Δ t). Arrange the terms so that when you calculate the limit when Δt limes 0, you get definition of derivative to the other side?
- If #(x+1)^n = sum_(k=0)^n c_k x^k# then show #sum_(k=0)^n 3^k c_k = 2^(2n)# ?
- If #(x+1)^n = sum_(k=0)^n c_k x^k# then show #sum_(k=0)^n (-1)^k c_k = 0#?
- How do you find #\sum _ { n = 1} ^ { \infty } ( \frac { 1} { n ^ { 2} } ) = \frac { pi ^ { 2} } { 6}#?
- Write definition of definite integral on a rectangle?
- Let f be a function defined on the closed interval [3, 4] with f(0) = 3. The graph of f', the first derivative of f, consists of one line segment and a semicircle as shown in the detail section below. Find f(-3) and f(4) and show your work? Thanks!!!
- Ask for coefficients from Co to C4?
- Can someone help me in this please??
- How do I sketch the cardioid whose equation is #r=2-3sintheta#?
- Find the area bounded by curdiode r=a(1-cosx) ?
- Find the integral of square root of x divided by square root of 2-x?
- Trying to under stand this problem. #int_-oo^oox^2/(9+x^6)dx# The guide I have says pi/9 but i keep getting -pi/18+pi/18=0?
- Is this right? Lim using derivative?
- How to solve using derivative??
- Can some one please teach me calculus?
- Differentiate from the first principle # y = tan(x)# ?
- Integrate X+1 divided by squareroot 2X-1. ?
- Differentiate y=tanx?
- How do you differentiate #(-3x^5-5/x^4 )^9# ?
- How do you differentiate 4/(2x+5)^3?
- Find the derivative of the following, please? Show working and formulas please and thanks!
- How do you find the gradient of the following tangent? Please include working!!
- How do you integrate #\int _ { 2} ^ { - 3} ( 3+ x ^ { 2} ) ^ { 2} d x #?
- Find dy/dx if Y=cos(cotX)?
- Evaluate Limit x-0 (x^2+4x-5/x^2+x-2)?
- Expand log sinx in powers of (x-2) by Taylor's theorem?
- How to prove that #|f'(x_0)| \le \frac{A}{2}# for every #x_0 \in [0,1]#?
- How to calculate derivative? #(7x-1)^3(2x+1)^2#
- Choose the value of k that makes the following function continuous at x=1: Help!?
- How do I use the comparison test to determine if the improper integral 1/xsqrt(1+x^2) is convergent or divergent?
- Find the area between the curves y=e^-0.4x and y=2.4x+1 from x=0 to x=5?
- D/dx sinx-cosx/sinx+cosx?
- Use part 1 of Fundamental Theorem of Calculus to find derivative of function?
- How to make a derivative of this function?
- How do you calculate the #lim_(x to oo) tan^-1((x^2+9)/(x+9))#?
- #lim_(x->0)1-cos(3x)/x^2#?
- How do you prove the convergence of #int_0^oo cos(2t)/tdt# ?
- How would you differentiate this function?
- How can i calculate #root(4) {83}# so that the error wont be larger than#0.5*10^{-3}#?
- Find the cost of materials for the cheapest such container?
- Find limit of #lim 1^n/(2n-1)#?
- Conceptually, why does a Fourier transform connect the wave function in a position representation to its representation in the momentum representation?
- A cylindrical can made of alumimium sheet have a volume of 1500cm^3. How to determine the height and radius of the can that requires minimum material?
- How to find the inflection point of #e^sqrt(x)#?
- Derivative of sin^(-1)4x?
- X³/x⁴+x²+1 ka intreagration ?
- Use Newton's method with initial approximation x1 = −1 to find x2, the second approximation to the root of the equation x3 + x + 4 = 0?
- Differentiate the following with respect to x. cosec x.cot x ?
- What's the value of #h# which minimize the perimeter?
- Find local maximum&minimum at f(x)=x^4-2x^2+3?
- How to determine the limit of the #sqrt(n^2+1) - sqrt(n^2+n)# as n goes to inifity?
- Find the derivative?
- Dy/dx=y+c Please answer this integral? Thanks.
- What isIntegration of X/1+sinX ?
- How do I solve #int# #sectheta/tan^2thetad theta#?
- Evaluate the integral?
- How do i answer this?
- Find f(x) from the given information? f''(x)=6x, f(1)=5, f(3)=17
- If the angle r is increasing at a rate of 0.7 radians per minute, at what rate is the area changing when r = pi/4?
- Find the indefinite integral?
- Find the most general antiderivative of #f(x)=((1+x)/x)^2#?
- What must be the altitude of the inscribed cone in order to have the largest possible volume?
- For what values of x is # f(x) = e^(4x)-4e^(2x)+e^x # concave or convex?
- Find the most general antiderivative of f(x)=2^(x+1)?
- How do you prove that the function f(x)=xe^−x is a decreasing function on (1, ∞)?
- Differentiation of cos^2x/2?
- What is the integral of #int(xsinx^2)/(sec3x^2)dx# ?
- How do you find the integral of ∫ cos 3 x sin 2 x d x ?
- (1-y)dy/dx-(1+x)=0 ?
- D^2y/dx^2-y=0 ?
- Find the maximum and minimum values of the function f(x)= |3x-x^2|?
- If f(x)= x-1/x+1 for x can't equal -1, then f'(-1) = Can this be possible?
- D/dx(ax+y)=?
- What is Integration of d^2y/dx^2 with respect to dx?
- The mathematical model for the amount y of the drug in the blood after t hours is y=ate^-kt ?
- Find the asymptotes of #f(x)= x^2/(x^2+x-2)# ? Also the max and min values
- Find the coordinates of all points on the graph of y = 1 - x^2 at which the tangent line passes through the point (2,0)?
- Derivative of #sqrt(x-1)(x+1)#?
- Converge or diverge ?
- How do you arrive with a minus in this simple differentiation question?
- Can you help me with this integral ?
- Calc please help with question 32 part b?
- How you can prove by induction that f(f(w)) = f(w) for all w ∈ A∗?
- Help with calculus optimization problem?
- The average value of the function v(x)=4/x2 on the interval [[1,c] is equal to 1. What is the value of c?
- How do you find limit of this without L'hopital rule ?
- What is #f''# with respect to #z# when #f=\cos (pi z^2)#?
- The function f is defined by fx=5/(1-3x) for x>1 Find an expression for f^-1 and state domain and range of f^-1?
- What is the integral of cos^(2/3)x /sin^(8/3)x ?
- How to evaluate this limit?
- Find the area of the region? f(x) = x2 + 4x + 4 g(x) = 4x + 20
- Integration (2x+3)dx÷[(x)(x+1)(x+2)(x+3)+1]?
- Proof of e?
- (1+x^2) dy/dx+2xy=4 what is the particular solution? when y=0,x=1
- The function f is defined by fx=5/(1-3x) for x>1 find the expression f'(x)?
- Calculus Integral Problem?
- Can you help me find the derivative of this? Please (#cot^-1#(#sqrtt#))
- What is the derivative of?
- Help with [part c and d please?
- If #y = cosx^3sin^2(x^5)#, what is #dy/dx#?
- How do you partial differentiate y=sin(xy×xy)?
- Find the area of the region?
- How do i calculate the area between g(x) and f(x)=sinx (g(x) is a piecewise function)?
- How do i prove that #\sum_{k=0}^n(\sum_{j=0}^ka_jb_{k-j})x^k# is mclaurnes polynom? (details inside)
- Why isn't the notation for the second derivative #dy^2/dx#?
- Can somebody solve this: Limit as x approaches 0: 2x-5sin(3x)/x?
- How do you evaluate #\int_{1} ^{2}(3t^{2}-t)dt#?
- How do you find the integral of #f(x)=x^(2/3) *ln x# using integration by parts?
- How do you find the derivative of #y# with respect to #x# of #y=(x^4lnx)^6#?
- Evaluate the Ingram of ?
- Find the absolute extreme values of the function on the interval?
- How to solve this integral ??
- Please solve integral of #1/sqrt(x^4-16)#?
- Evalute the integral ?
- What is the limit of ln x/cscx as x approach to zero from the right ?
- How do I find the equation of tangent to the curve at the point corresponding the given value of the parameter. #x=e^sqrtt, y=t-lnt, t=3#?
- Integrate (x^2-3)/(x^2+1)dx?
- How to solve \int \frac{dx}{x+x^{2017}} step by step?
- Find the derivative of (√ x^2+√ x)' ?
- Find the derivative? y= #xe^-x#+#e^3x#
- If the gradient function for f(x)=x^3+2x is g(x)=x3+2x Use algebra to show that as h→0 the gradient function approaches 3x^2+2?
- Find dy/dx if y = log(x^2 + 1)?
- How do you integrate (x3cos(x2)dx) by using substitude method?
- Find the 'c' value, that proves Rolle's Theorem true, if possible. f(x) = tanx [0, π] ?
- Evaluate the integral.?
- How do we approximate #f^(-1)(x)#?
- F(x)= e^-x, (0,2) Find the number C?
- Evaluate the following definite integral ?
- #x (d^2 y)/(dx^2) +(x-1) (dy)/(dx)-y = x^2# how i solve this question??
- Determine if the fraction is convergent or divergent ?
- A 20m ladder leans against the wall. If the bottom of the ladder slides away from the wall horizontally at 4m/s, how fast is the ladder sliding down the wall, when the top of the ladder is 8m from the ground?
- What is the difference between derivatives and integration?
- Why are parametric equations used instead of putting it all into one cartesian equation?
- #intsqrt(cos2x)/(cosx)dx#?
- Evaluate ?
- Improper integral Evaluate ?
- Lim ( n / n+1 ) ^n = ?
- Z=x^y then find dz/dy=?
- How can we proof limit of (3-4x)/5=-5 as x approaches 10?
- 1. find the domain 2. find vertical asymp 3. find horizontal asymp 4. find the critical points and intervals of increase and decrease of f(x) 5. Find the inflection points and intervals of concavity 6. Evaluate f(x) at rel max & min & at inflection point?
- Lim (n sin 1 / n) =?
- Find the equation of the tangent line to the curve y=8ln(x3−7) at the point (2,0)?
- Lim ( 1 / n )^ 1 / ln n =?
- Lim ( n / n+1 ) = ?
- If a function is positive (above the x-axis) on the interval [a,b], then the definite integral from a to b is... (Select all that apply.)?
- Monotonicity of functions? f(x)=x*arccos(x/3)
- Find d^2y / dx^2 , when y = cos(theta)??? can u plz reply me.
- Evaluate the definite integral.?
- Determine the area enclosed by y=2x+3,the x axis and the ordinates x=1 and x=3?
- Find the derivative of y=sec ax?
- How do you find the asymptote, x-intercept and y-intercept for y=10^-x-5? Thanks x
- #lim_(x-> oo)3^(x+20)/4^x# ?
- Solve #(dy)/(dx) = y^2#?
- Evaluate the integral.?
- Integration √tanx√cotx dx?
- Evaluate the definite integral?
- Find the maximum and minimum values of the function f(x)=x−(27x)/(x+3) on the interval [0,8]?
- Integration of 1/[ x^2*√(x^2+1)]?
- How do you find the most general antiderivative of the function?
- Check that the equation is exact and solve the equation [e^x^3 (3x^2 y- x^2) dx + (e^x^3) dy] =0 ?
- Evaluate the indefinite integral. (Use C for the constant of integration.)?
- How do i integrate #\int _{\-frac{\pi}{2}} ^ {\frac{\pi}{2}} \frac{cosx}{e^x+1}dx# ?
- How do you find #\lim _ { x \rightarrow \infty } \frac { x ( x + x ^ { 3} ) + 4x ^ { 4} } { 1- 2x ^ { 4} }#?
- How do i solve #\int \:xe^xcosxdx#? (want to check if i did it correctly)
- Evaluate the definite integral.?
- Evaluate the definite integral.?
- How do i solve #\int_0^2|1-x|dx#?
- How do i solve #\int \frac{sin^2x}{sinx+2cosx}dx#?
- Integrate e^x^2?
- Find the area of the region bounded by the curve y=1/1+sinx and the x=axis between x=0 and x=pi using a Table of Integrals ?
- How to show that #f# is "1-1" ? (one-to one)
- Evaluate √12 to four decimal places by Newton's method?
- Find the area of the region bounded by the curves y= -x+5 and x=y^2-4y+1 ?
- How do you evaluate the line integral S xy dx - x dy over the curve y=1-x^2 from point (1,0) to point (0,1)?
- How do you find the volume of the solid obtained by rotating the region bounded by the curves about the x-axis?
- How do you solve this differential equation ? (4-x)y"-xy'-4y=0
- The function #f(x)=x^5+3x+6# is one-to-one. What is #(f^(−1))'(10)# ?
- How do you integrate ∫x^3/√(1-x) dx?
- Is #f(x) =sqrt((x-12)(-x+3))-x^2# concave or convex at #x=6#?
- How do i prove that H is unitary and reflaction to #w^\bot#? (urgent)
- #f(x) = e^(1/x)# which of the following statements is NOT true?
- How do you find the limit of x - sin x / x^3 as x approaches 0?
- F(x)=x^2 passing through (1,2) & (4,5). find out the point at which the slope of tnagent is same as the secant line passing through the given line?
- Second derivative......please help?
- If f(x)=sec x then f`(0)=?
- If f(x)= 12 + 2x^2 - 4x^4, use the second derivative test to identify the local maxima and minima. Just wondering if someone can check my work?
- A Norman window consists of a rectangle with a semicircle above it. How to find the dimensions of the window of perimeter 10m that has the largest area?
- How do you determine if a function is concave up/ concave down if 2x-tanx on (-pi,pi)?
- Does the series #sum_(n=1)^oo(-1)^nlnn/sqrtn# converge or diverge?
- Differentiate y=5+2*sqrt of t^3 - 1/t^2 =?
- If y=+√x/m+√m/x then 2xy dy/dx-x/m+m/x?
- Evaluate the definite integral.?
- How do I use Newton's method to approximate the root correct to six decimal places? I am talking about the root 3x^4-8x^3+3 = 0 within [2,3]?
- Evaluate the definite integral.?
- How can I find the Sum of #5-10/3+20/9-40/27+80/81-#... ?
- F(x)=(e^(2x^2))/(Lnx)^2 , ¿f'(x)?
- Does the series #sum_(n=1)^oo((2^(n-1)3^(n+1))/n^n)# converge or diverge?
- What is the integral of? #intsec^5x/tan^6xdx#
- Find the slope of the line that is tangent at (2,1) to the curve x^3y^3=8?
- Rate of Change of a Circle with respect to time?
- Integrate with respect to x: X³/(x²+1)³?
- Few Questions??
- What is Derivative of 1/(1+√x)^2010 ?
- What are the applications of the integration?
- Find dy/dx if y = ?
- How to solve #\int_0^{\frac{\pi^2}{4}} \sqrtx sin\sqrt xdx#?
- Let #f(x)=(ln(x))^(sec(x))# . #f'(x) =?#
- Radioactive decay(calculus).. please help?
- Answer question below, please? Looks simple but somehow I got the wrong answer and not sure where I went wrong in my working.
- Plz help :( What is the gradient function for f(x)=x^3+2x?
- Find the area between the curve of y=sinθ and the θ axis from θ=pi/2 to θ=3pi/2 ?
- Does the series #sum_(n=1)^oo(1+1/n)^(n^2)# converge or diverge?
- Does the series #sum_(n=1)^oo((2n)/(n!))# converge or diverge?
- A circular balloon is inflated with air flowing at a rate of 10cm^3/s. How fast is the radius of the balloon increasing when the radius is: 1cm? 10cm? 100cm?
- Which of the following represents the area of the region bounded by the graph of the function #f(x)=sqrt{x}#, the #x-axis#, the #y-axis# and tangent to the graph of #f# at the point #(4, 2)#? (a). #2/3# (b). 0.6 (c). #1/3# (d). #16/3#
- Y=(sinx)^cosx,when x= pi/4, then d^2y/dx^2 =?
- What is #int(cos(x))^4 dx#?
- Evaluate the integral by making the given substitution. (Use C for the constant of integration.)?
- Find f, given f'(t) = 12/(1+t^2) and f(1) = 0 using anti-derivatives? How do I do this?
- Calculus..... help please?
- How do you find the limit of #(x^3-x)/(x-1)# when x approaches to -1?
- How do you demonstrate that, if #(df)/(dr)= (dg)/(dy)#, then #(df)/(dr)= (dg)/(dy) = K # where K is a constant ?
- Integration of sin6x?
- Can anyone please show me how to calculate this limits? lim x→∞ 5/(x^3+5x+7) Lim x→∞ √(64x^2+5)/(2x+1)
- How to integrate cos^3x from 0 to 2pi?
- How do you find the limit of #(sqrt(x+2) - sqrt2) / x# when x approaches to 0?
- How do you find the limit of #((sqrt(18x^2+2))((1)/(sqrt(32x^2+6))))# when x approaches to #oo#?
- How do you find the limit of #thetasectheta# when #theta# approaches to #pi#?
- How to rewrite this as an expression without factorials?
- How do i solve #\int_{-\frac{\pi}{4}}^frac{\pi}{4} \frac{x^7-x+1}{cos^2x}dx#?
- How do i solve #\int xln \frac{x+1}{1-x}dx#?
- Can anyone help with this limit problem?
- How do you find the limit of #(1-cosh)^2 / h# when h approaches to 0?
- Y= 4.9x^2 a.) find the average rate of change from 1 sec to 2 secs. b.) calculate the instantaneous velocity from first principles; • at 2 secs • at 3 secs?
- #lim_(x->0)sin (1/x^2 )#?
- Integration/?
- The ideal gas law states pv=nrt, find how fast p is changing when the volume is 10 m^3, p=20 pascals, and volume is decreasing at a rate of 2 m^3 per min, and temperature is increasing at a rate of 4 kelvin per min. How do I solve this?
- How do you find the area under the curve #y=1/2(e^x + e^-x)# from #x=-2# to #x=2#?
- How you cand find the limit of #((sqrt(18x^2) + 2)((1)/(sqrt32x^2 -6 )))# when x approaches to #oo#?
- How do you find the limit of #(2-sqrt(4-x)) / x# when x approaches to 0?
- How do you find the limit of #(x^2-4) / (3 - sqrt(x+7)# when x approaches to 2?
- How do i prove that #|\int _0^{2\pi}f(t)sin(nt)dt| \le \frac{4}{n^2}#? (details inside)
- Differentiate the following from the first principle y= 1/√x+1?
- Find Dy/dx of Y=cosec3x?
- How can i find Limit of (x+1/x-1)^x as x approaches to infinity? And thanks
- How do you find the limit of #(2x^6 + 2x^3 + 5x^2 - 2x -4) / (8x^6 + x^5 + 20x + 9)# when x approaches to #oo#?
- Could you tell me how to solve for x? #cos(3x) = sin3x + 1# Please give answers in terms of radians.
- (calculus)At what rate is the angle shown changing at that instant?
- How can i evaluate the integral of x^2 / (x^4 +1) ?
- Given that y=e^x ln x , Find d^2y/dx^2?
- Lim to infinity of (5x^2-3x+4)/(x-1)^2?
- maclaurin series expansion of F ( x ) = ( cos x ) ln ( 1 + x ) ?
- Find the indefinite integral. Check your result by differentiating. (Use C for the constant of integration? 14x _____dx (5 + x2)^3
- How do you integrate #1 / (sqrt(3 + 2x - x^2))#?
- How do I find points of inflection for the graph of #x/(x^2+1)#?
- Prove that, #"(n+1)!"/"(n-1)!(n-2)!(n-3)!"="n(n+1)"/2# ?
- How do you find the derivative of x-1/x using the definition of derivative?
- how do I find all points on the curve #y=sinxcosx# where the tangent line is parallel to the line #x+2y=3#?
- Dx/cosx+(3)^1/2sinx =?
- What is the partial derivative of #log(x^2+y^2+z^2)#?
- Evaluating integrals...?
- How you intergrate ln(x/3) ?
- Give the equation of the "normal line" to the curve y=3lnx+5 @x=2 ?
- Differentiate the following with respect to x:? (a) (3x^2 +5x)/ x^1/2) (b) (2x-7)/ (x+1)^1/2)
- Use the grapher to find a complete graph of n(x) . Sketch the graph and label all maxima, minima, the y -intercept and zero coordinates. Approximate to the nearest hundredth N(x)=(x–2)^2 (x+6) (x+3)(x–4) (x+1)? *The first on is a square
- Find the indefinite integral. Check your result by differentiating. (Use C for the constant of integration?
- Find a model for the revenue of Under Armour. (Round your constant term to two decimal places.?
- How do you design function with no more than one linear segment that is discontinuous at x = -5 and at x = 6 but continues for all other real values?
- Solve the given partial differential equation? where U_y=0 and U=x^2 on the line y=1
- How do i prove that #\int_0^1x(1-x)^ndx=\frac{1}{(n+1)(n+2)}# for every n?
- Using the algebraic method with limit analysis determine whether the following functions continues or not?
- Solve this problem using l'hopital's rule?
- (y+3x^)dy/dx=x. Solve the differential equations?
- What is the removable discontinuity of this function?
- Write the equation of the tangent line to y=arccos x at x=0?
- What is the Derivative and Shape of a graph considering the following function?
- If f'(x) = -8x on what intervals is f concave down?
- Suppose g is the inverse function of a differentiable function f and G(x)=-4/g^2(x). If f(5)=3 and differentiation of f(5)is 1/125 then differentiate G(3) =?
- Find the derivative of #(cos9x)^31# ?
- How do you find all inflections points of #f(x) = x^3 + x^2-4x-4#, and determine where the function is concave up and concave down?
- Second derivative problem!!!?
- Substitution and revolution............?
- Indefinite integrals?
- Definite integrals?
- I've been working hard on this without a result ?
- How to solve limx→−∞ x⋅e^(−2x)=−∞ step by step?
- Find the equation of the tangent to the curve y=x^3-5 at the point (-1, 4). Where does this tangent cut the x-axis?
- What is the derivative of 8cos(x)/1-tan(x)?
- How do you find the maclaurin series expansion of #f(x)=(1)/(1-x)^2# ?
- Find the slope of the curve at the point indicated? y=y=#1/(x-1)# x= 3
- What is the value of x if #xlog x = log 4 x#?
- Using the algebraic method with limit analysis determine whether the following functions continues or not?
- How to calculate this limit?
- Help me please?
- How do you use implicit differentiation to find #y'# and evaluate #y'# at #(1,1)# for #xln(y) + 6y = 2x^3#?
- What is the interval of convergence of #sum (-1)^n * (x^n/n) #?
- Integration of (x+3)dx/(4+x-x^2)?
- Using the algebraic method with limit analysis determine whether the following functions continues or not?
- What is the limit of (sinx^2)/(x^4+x^2) as x approaches 0?
- What is the turning point of x^2 + 6x -7?
- How i find the solution ? y' = 4 + y y(0) = 1
- Integrate with respect to x?
- #int ((x^10+3x^5)^(1/2))/x^8#?
- Differentiate using first principles tan^2 9x?
- What are the critical values for x+2 sin x on the interval [0,2#pi#]?
- What is the Interval of Convergence of #(x^n)/n#?
- Consider the set of parametric equations x=sin(t), y=sin(2t). What is the equation of the tangent line at the origin with positive slope?
- Find the slope of the function's graph of the given point, then find the equation for the line tangent to the graph there? f(x)=x^2+1 (2,5)
- How to change limit of 2x/sin2x as x approaches 0 into sin2x/2x? This question need to solve by using trigonometric limit sinx/x=1 . My tutor told me to do like this 1/(2x/sin2x) but how about 1/(sin2x/2x)? Which one is the correct way?
- The equation of a curve is y=4/(2x+1) Given that the line 2y=x+c is a normal to the curve find the possible values of the constant c?
- How do i know if #lim_(x to 0) ((5x+2)^2-4)/(2x)# exists?
- differentiation of this? sin^2[ln(secx)]
- How do you find the stationary point of (t^2-1)/t?
- Lim n~infinity {Sin (π/2n)* sin (2π/2n)* sin (3π/2n)*..........* Sin [(n-1)π/n]}^(1/n)= ???
- Integration dt/t^4+1 limit from 0 to infinite ?
- If f(x) = 2x^2 - 4x +2, how would you find the equation of the tangent of the line of f(x) at the point (5,32) and the derivative when f'(5) = 16 ?
- Differentiate x-1/root x?
- What's derivative of f(x)=#(2e^x-7x^2)(x^2+1)#?
- #d/dx int_2^cosx sin^2(2t)dt#?
- If f(x) = 3x^2 + 8x, the slope of the tangent to f(x) when x=5 is 38 and the instantaneous rate of change for f(x) is also 38, what would the equation of the line tangent to f(x) when x=5 be?
- How to solve for the derivative given this information: #f(x+h)-f(x) = 2 h x^2 + 3 h x - 8 h^2 x + 8 h^2 - 4 h^3# ?
- Three planes are given below: Plane 1: #-2x+y+z=k+1# Plane 2: #kx+z=0# Plane 3: #y+kz=0# Determine the value(-s) of k if three planes is to have..?
- How to integrate √(1+x^2) ?
- Find the maximum value of #2x + 2sqrt{x(1-x)}# when #0 \leq x \leq 1#?
- Given #f(x) = 7sinx + 7cosx# and #0 ≤ x≤ 2π#, on what interval(s) is #f# increasing and decreasing? What are the local maximum and minimum value(s) of #f#? On what interval(s) is #f# concave upward and downward?
- Evaluate the difference quotient for the given function. Simplify your answer f(x)= (x+3)/(x+1), (f(x)-f(1))/(x-1) ?
- How to answer the minimum value of the function y=-2 sin x/2?
- Suppose #f:(-1,1)->ℝ# is a function that fulfill #f(0)=0# and #0 ≤ f(x) ≤ x^2# and #x ∈ (−1,1)#. Set up the definition of derivatives for #f# at #x=0#. Is the function differentiable at #x=0#? If so, what is #f'(0)#?
- State the Derivative of #x# State the Derivative of #1/x# ?
- What is the solution? limit ((1-x^3)/(3x+2)),x->∞
- How do you find the range to this limit?
- Differentiate the following function y=e^(3x+2)?
- What is the limit using L' Hopital's Rule?
- Intregation of sinx^2 ?
- #lim_(x->0^+)(-x+sqrt(x^2)-1)/x#?
- Find the volume of the solid bounded by the plane x=0, y=0, Z=0, and x + y + z = 5?
- How do i know if #||\sum_{k=1}^na_ku_k||^2=\sum_{k=1}^n|a_k|^2# is an orthonormal base of an inner product V if #B={u_1,..,u_n}# and #{a_1,...,a_n}# are scalars?
- How do you find the limit of #x^2/(1-cos^2x)# as x approaches 0?
- What is the continuity of the function y=5?
- How do i know if #{(1,1,..,1)}# can be a basis for #U ^\bot#? (details inside)
- Lim x → 0 sin7x-sinx/sin6x=?
- How toprove that the quintic equation x^5+x^4=1 has unique solution on the interval (0,1) and using Newton-Rapson Method with initial value x0=0.9 to determine an estimated value of the unique solution x* of he equation in (1), nearest to a ten thousanth?
- The equation #x^(2/3)+y^(2/3)=4# describes an astroid. Determine the total length of this astroid by finding the length of its portion in the first quadrant (see graphic), at #y=(4-x^(2/3))^(3/2)# for #0<=x<=8# and by multiplying this value by 4 ) ?
- Maclaurin series x*cosh (2x)=?
- how do i know if #(a,b)= \sum_{i=4} ^4 c_ia_ib_i# defines inner product in #R^4#? (details inside)
- Find the indefinite integral. (Use C for the constant of integration?)
- A number #a# is called a fixed point of a function #f# if #f(a)=a# . How to prove that if #f'(x)!=1 # for all real numbers #x# , then #f# has at most one fixed point?
- What's the #lim_ (x to 1) sin(pix)/(x-1)#? Please answer step by step.
- What is the limit as x approaches negative infinity of xln(1+1/x)?
- What is the exact limit?
- What's the #lim_ (x->1) sin(pix)#? Please answer step by step.
- How to know if a function is one-to-one or not, algebraically not with the horizontal line test ?
- Xdy/dx=2/x+2-y given that x=-1,y=0?
- Y=sec^(2)x. Then; y`[pie/4]=???
- Local max/min and intervals of increase/decrease of f(x)=(x^2)/((x^2)-1) ?
- What is the derivative of 4x^2 - 3tan2x?
- Help me out? # lim_( x -> 1) (root 3(7+x^3)-root 2(3+x^2))/(x-1)#
- What is the derivative of cos^2(pi X)?
- What is the derivative of log10 (e^x)?
- How do i know if #x \ne y# and ||x||=||y||=1 then #||\frac{x+y}{2}||=1#?
- Let xy=5 and let dy/dt=4. What is dx/dt when x=3 ?
- How do you integrate #\int \frac { 8\ln 6x \sin ^ { - 1} ( \ln 6x ) } { x } d x#?
- How to show that a polynomial of degree 3 has at most three real roots?
- Integral of # int cos^8(theta)sin^7(theta) d theta# value?
- How to solve? lim h0 (ln(x+h) +ln(x-h)- 2lnx )/h^2
- What is #int sqrt(x) / sqrt(1-x) dx#?
- Derivative question?
- What is the derivative of #cos^-1 (1/x)# ?
- F(x) = x^5 - 5x. What are the local maximum and minimum values? And find the intervals of increase and decrease of this function.
- Find the gradient function of the following function from the definition? Show working, please.
- The solution of (1+x^2)y'+4xy=(1+x^2)^-2 is?
- How do you evaluate #\int _ { 0} ^ { 1} ( 2\pi ( x + 10) ( x ^ { 2} ) ) d x#?
- On what interval is the object's velocity positive? Negative?
- Solve 64^x-1=16^x/2 ?
- Find the arc length function for the curve y= integration 1 to x √(t^3-1)dt,1<x<4?
- When finding an indefinite integral, your answer must include?
- Find the 1st and 2nd derivatives? #(t^2-1)/(t^2+t-2#
- Use the Log Rule to find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.?
- Lim x->0 (tan x- sin x)/x^3=?
- Could someone please answer this question and show working, please?
- What are the critical numbers of g(y)?
- how to calculate lim with sin?
- For what value of L the function is continuous?
- Can any one solve it??
- How do you integrate #\int \frac { ( x + 1) ^ { 2} } { \root[ 3] { x } } d x#?
- How do you find dy/dx given x=t-1/t and y=2t+1/t?
- How do you find the limit of #tan((pix)/3)# as x approaches 3?
- Integrate ((1+2lnx)^4)dx/x ?
- Who can do this? Lim (x^4 -1)/(x^3 -1) x->1
- Find the derivative: f(x) = 2 sin x tan x?
- Evaluate lim (1-cos^3x)/xsinxcosx when it approach to zero?
- What's the differentiation of y=(sinx)(lnx)(x^n)(cosx)?
- #lim_ (x ->1) (x^3-1)/(x^2+x-2)=#?
- X/x-1 What is the first,second and third derivative?
- How do you simplify #\sum _ { k = 1} ^ { n } ( 3k ^ { 2} + 2k )#?
- √2-3x^2 What is the first and second derivative?
- Can you evaluate the integral by interpreting it in terms of areas?
- How to integrate ((e^x)-e^(-x)) between 1 and 0?
- Implict Derivarive of: #ln(2x^3) + (3y^6)/7 = 3xy + y^(1/2)# ?
- A particle moves along a coordinate line. Its velocity function v(t) for t>-0. For each problem, find the position function s(t). What is the position function? v(t)=3t^2-22t+24; s(0)=0
- What is the ans of the following definite integral..?? Integration of ((x+5)^1/3 )dx / ((x+5)^1/3 + (9-x)^1/3) .... Limits is from 0 to 4..
- How to use first principles to find the gradient of a function?
- Find the second derivative?? #(2x+5)/(3x-2)#
- Derivative of sin(5)x^2 ?
- Derivatives of inverse trigonometric functions #y=cos^-1(−x/5)# Evaluate for #x=2# ?
- How do you evaluate #\int sqrt((x-1)/(x＋1))/xxdx#?
- How do you differentiate #f(x)=(x^3-3x^2-3x-6)/((x-6)(x-1)# using the quotient rule?
- #lim_(n->oo)nlog((a sqrt(n+1)+bsqrt(n+2)+csqrt(n+3))/(asqrt(n+2)+bsqrt(n+3)+csqrt(n+4)))#=?;#a,b,cinRR#
- Solve differential equation #xdy=(y^2-3y+2) dx# ?
- How do you find the absolute extreme values of the following function on the interval?
- #lim_(n->oo)(a^(1/(n+b))-a^(1/(n+c)))#=?;#a,cinRR#
- #lim_(n->oo)(logn!)/n^a#=?;#a>1#
- What's the solution? #lim_(nto oo) ((n^2+3)/(2n^2+4))^(n^2)#
- What is #lim t->0^+# of #ln(1/t)#?
- What are the asymptotes of this function?
- We have #f:RR->RR;f(x)=x(x-2)#.Is #f# differentiable on #x=2#?
- Find the derivative of y= cosh^-1 (3-2x)?
- Calculate the area of the shaded and bounded region by the equation #y= 10/(x^2-10x+29# curve and the line #x=3# (see graphic). ?
- How do you solve #2x^2y''-xy'+(1-x)y=0# ?
- How do you evaluate #\int x ( x ^ { 2} + 1) ^ { 8} d x#?
- How do you solve #int_5^oo 1/x^(4/3) dx# by using improper integrals?
- Slope of the curve y=x^2 e^-x at its point of inflection?
- How to differentiate y=x^sin(x)?
- How do you find the slope of the curve at the given points? (implicit differentiation)
- How do you evaluate #\int ( \sin x + \cos x ) ^ { 2} d x #?
- f(x)=Inx is increasing or decreasing interval?
- How to find all the derivatives of this function? z= (x^3)sin (x+3y)
- Differentiate F(X)= inx/x-1?
- How do you solve #\lim _ { x \rightarrow 0} \frac { \sinh ( x ) - x } { x ^ { 3} }#?
- Find the derivative of f(x)=cosx?
- Differential equation help?
- Y=x^2-x+1?. Please differentiate and explain me
- Answer please?
- Y= (2x+1/3x-2)^3, what is the derivative using the chain rule?
- Can someone answer this while showing the working out for this question?
- What are the results of the integral x / cos x-1 ?
- Can you evaluate the integral by interpreting it in terms of areas?
- What is the limit when h approaches 0 for sqrt((x+h)-5) - sqrt(x-5) all divided by h? I used the power rule to get 1/2sqrt(x-5). Can someone please work the problem out step by step? Thank you
- Optimization - Find the surface area of a domed cylinder?
- Can you explain this question with squeeze theorem?
- What is the Derivative of 1+tanx?
- How do you solve #int_0^1x^3(ln(1/x))^3dx# ?
- Find #d/dxtan^-1(x^4) |x=1# ?
- Integration of [sin (logx) -cos (logx)] dx ?
- 71. Find y’’ in y= ( 1+1/x)^3 ?
- How do you integrate #\int _ { 0} ^ { \pi / 2} \cos ^ { 6} x d x#?
- Lim x→π cot(x/2)/π-x??
- If #f(x)= 1/x # and #g(x) = 2e^x -4 #, how do you differentiate #f(g(x)) # using the chain rule?
- How do you find solution for #int_0^∞x^9e^(-x^5)dx# ?
- How do i prove that #f(x) \le g(x) \le h(x)#? (details in question)
- Differentiation of 1/xsquare?
- What is the limit of #[(5^x)-1]/x# as #x# approaches #0#?
- Could anyone answer me this?
- Solve xdy/dx=5x^2+4?
- Could anyone answer me this step by step?
- Assume that f(x) is differentiable and invertible function so that f(3) = 4 and f'(3)=1/2. Calculate #d/dx f^-1(x) | x=4# ?
- How to solve this general solution?#y'+xy=xy^2#
- I got a function: f(x) = (x^2 -15) e^-x. I managed to derivate it into f'(x) = (-x^2 + 2x + 15) e^-x. My problem now is that I got no idea how to use that information to find out if there are any maximum or minimumspoints somewhere in the function? Help
- Solve e^dy/dx=x?
- #lim_( x→0)((ln(1+x+x^2)/x^2) −1/x)# is #1/2# why ??
- If #y=sqrt(x+1)/sqrtx#, prove that #2x dy/dx=sqrt(x-1)/sqrtx#?
- Area bounded by polar coordinates ?
- how do i solve this y=√(2x+1) - x using the method of first principle?
- How can I integrate #int_0^1lnx^3(1/x)^3dx# ? Do I need some advanced tricks?
- Consider the curve y= c e^a .the equation of normal to the curve when the curve cut y axis is ?
- What is the dy/dx of flowing questions?
- What is the equation of the tangent line to y = 1/(x - 3) at x = 4?
- Differentation of sec squ x?
- Help with dy/dx please?
- Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x/x + 8, [1, 16] If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem.
- Given the function #h(x) = x^2+5x+1#, how do you determine the average rate of change of the function over the interval #-7 <=x <=4#?
- How to find the rate at which water is being pumped into the tank in cubic centimeters per minute? details below:
- How do I convert #lim_(n->oo) sum_(i=0)^n (12n)/(16n^2 + 9i^2)# into a definite integral?
- Which of the following limits computes the integral?
- Can you help me find y'?
- (2e)^x 2^x -4^x derivative?
- Find the first priciple the derivatives of root under 2x+3?
- Find #dy/dx# y=2(cscx+cotx)(cscx-cotx)?
- Find the equation of the tangent line for the graph of the function at the given point?
- Find the maclaurin series for F(x)=e^-x.?
- Where #f(x) = 1/(x-e^x)# is increasing?
- How do i prove that #lim_{n->\infty } \int _0 ^1 \frac{x^n}{e-2x}dx=0#?
- How do i prove #\frac{1}{201} < \int _0 ^100 \frac {e^{-x}}{x+100}dx < \frac {1}{100}#?
- How to find #d/dx(dy/dx)#by using implicit differentiation ? #x^2+4y^2=4#
- Solve this problem? Find equations of the tangent line and normal line to the curve y = sqrt x / (1 + x)^2 at the point (1,0.5)
- D/dx (-1)=?
- Solve this problem #int_0^a cos(x+b^2) dx = sin(b)#?
- How do you answer this? Find #dy/dx# if: #(sin(x))^lnx (ln(x))^cosx#
- Does this limit exist or is it an indetermination?
- Find the derivative of y= x sin^-1 x + tan^-1 sqrt x ?
- How do i calculate the integral (-infinity, +infinity) of f(x)=(x^2)(e^(-4x)) ?
- How do you find all the relative max, relative min, and inflection points for #f(x) = 7x^3-14x^2-28x-10#?
- Integration of #sin2x# limit is #0# to #1/4pi#?
- Prove that lim_(n->oo) (2n+1)/(3n+2)=2/3 ?
- An object moves in a straight line so that the velocity after t seconds is given by v=t^2-3t m/s a) calculate the acceleration at time t? b) calculate the displacement at time t? c) how far did the object travel in the first 3 seconds ?
- Solve the separable equation dy/dt=k(y-M) and obtain a general solution. Can you help?
- Water is leaking out of an inverted conical tank at the rate of 10,000cm^3/min cm/min at the same time that water is being pumped into the tank at a constant rate. The tank has a height of 6m and the diameter at the top is 4m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2m, how can I find the rate at which water is being pumped into the tank.?
- Find the eqn of normal and tangent to the curve y=x^2+4x+2 at the point where the tangent is perpendicular to the line 2x+4y+5=0?
- How can i do this?
- Please answer all for number 2?
- I have tried methods but still can't get correct answer, Can give me some helps??
- How to find Limit of tanx when x approaches to -pi/2 ???
- Does the series converge or diverge?
- What are all the primitive functions of #f(x)=|x-1| in RR#?
- Find the co-ordinates of the local maximum and local minimum points of the curve y=xe^-x^2?
- If y=f'(x)=x+1 what is y=f(x)?
- Differentiate #y=sin^2(tan^-1(sqrt((1-x)/(1+x)))# ?
- Which of the following results from making the substitution u=x^{3} in order to find \int x^{2} \cos(x^{3})dx?
- |1-x^4| With lim -2 to 2?
- How do you find the derivative of #y=tan(sqrtx) + cos(sqrt(x^2+1))#?
- Find the area enclosed by the curve y=4-x^2 in the X and Y axes?
- How do you find f' of f(x)=|x-3| ?
- Whats the integral of ln x with upper limit being 1 and lower limit being 0?
- WHich points on the graph of y = 4 - x^2 closest to the point (0,2)?
- How do you find the derivative of x/(8- sqrt(x))?
- If y=(x-1)(x+3) then find dy/dx ?
- Kindly try to answer?
- How do you do this calculus question??
- How to solve this?
- How do I determine if #int_1^oolnx/x^2 dx# converges or diverges?
- #int_-a^a cos(x+2a^2-a) dx = -sin(2a)#?
- What is the answer about #lim_(xrarrpi/4)(1-tanx)/(sinx-cosx)#?
- #int x^(2)(lnx)^(3)dx=# ?
- When do you use a **Logarithm** when taking a derivative?
- How do you find the volume of the solid obtained by rotating the region bounded by the curves about the y-axis?
- Sin(x/y)=1/2 what is dy/dx ?
- A metal channel is formed by turning up the sides of width x of a rectangular sheet of metal through an angle theta. If the sheet is 200mm wide, determine the values of x and theta for which the cross-section of the channel will be a maximum?
- How do you explain #lim_(hrarr0)(e^h-1)/h=1# ?
- What can do with? lim x → 5 |x+2|/x+2
- Find the area of the portion included between the cardioids r=a(1+cos x) and r=a(1-cos x)?
- How I can write this power series in summation notation (Macluarin series) x^2ln(x+1)?
- What is the integration of (1+tan²x)² dx?
- How do you find the coordinates of a point on a curve at which the tangent line to the curve is parallel to the y-axis?
- How do you find the first and second derivative of #4e^(2x)secx#?
- How do you find the area of the region bounded by the given curves?
- Y(dy/dx)=0... Solve???
- How to evaluate limit of # x# approaches #ln 3# #(e^x-3)/(x-ln3)# without hospital?
- Whats limit of #(e^(3x)-1)/x# as x approaches 0 without L'Hospital?
- What is #int_0^(1/9)1/(1-2sqrt(x))#?
- What are the first and second derivatives of #4e^(2x)secx#?
- How to prove or disprove ? if #f# is integrable on #[a,b]# then #int_a^b|f(x)|dx<=|int_a^bf(x)dx|#
- D/dx(√x) derivative of d/dx of root x is ?
- Sketch graph R=2 and R=2(1+cos(theta)) Find area of region inside of cardioid and outside of the circle?
- How do you find the derivative of #y=ln(tg^3(x/6))#?
- For the equation given below, what is y′ at the point (−1,−1)? xe^y−2y=3x+5−1e^−1.
- How to find g'(x) and g"(x) for g(x)=#e^(4x)secx#??
- Find the function f(x)f(x) described by the given initial value problem? f′(x)=sinx,f(0)=−6
- Please what’s the integral of (1/sinx)dx?
- Integral from sqrt(2)/2 to 1 of sqrt(1-x^2)/x^6 ?
- Lim x#rarr# #oo# 2#sqrt#x +(#x^-1#)/3x-7 help me to find the limit?
- What is the Derivative of 3acost-acos3t?
- Integral 0 to 1 ∫1/[1+√(1+x^2)] is ?
- How do you evaluate #\int \tan \theta \sec ^{3}\theta d\theta#?
- Find all points (x,y) on the curve y^2=2+xy where the line tangent to the curve has a slope of 1/2. I have implicitly differentiated and got y'=y/2y-x but I am stuck after setting this equal to 1/2. Can someone please walk me through this? Thank you
- How do you find the area of the region bounded by the given curves?
- How do you solve for area in this problem?
- The local linear approximation to the function #f# at #x=1# is #y=2x+8# What is the value of #f(1)+f'(1)#?
- What is the derivative of e^2x?
- Differentiate e^x/(1+x^2)?
- The surface area of a baalloon in the shape of a sphere is decreasing at the rate of 2cm^2/min. Find the rate at which the volume is decreasing when th radius of the balloon is 5cm? Thank you.
- How do you perform this operation? #(x^2+2)sum_(n=2)^oo(n(n-1)a_nx^(n-2))#
- If #5x^2 + 4x + xy = 3# and #y(3) = −18#, find #y'(3)# by implicit differentiation?
- How to integrate inte sin^-1/√1-x^2 dx with the limits of 1,0?
- How do you find the slope of a multivariable function?
- Why does the answer model not use the L'hopital rule in this situation?
- A spherical ball is being inflated at a rate of 40cm3s-1. What is the rate of increase of its radius given that the surface area is 200πcm²? Surface area of sphere=4 π r² Volume if sphere=4/3πr³
- Find the smallest positive x-value where f(x)=x+4sin(2x) has a horizontal tangent line?
- How to Find dy/dx when y= tan^-1(3x)?
- How do you evaluate #\int \frac { \cos \theta } { \sin ^ { 4} \theta } d \theta#?
- What is the interval of convergence of #sum (n^n)(x^n)#?
- How to integrate? e^3x
- Find the limit? lim x#rarr# #oo# #(10x^5+x^4+31)/(x^6)#
- Integral of dx/x*sqrt(x^2+x+1)?
- Differential equation help?
- Help me to solve it?
- How do you find #lim_(x to oo) (3x^2+4x)^3/ (4x^3-3)^2 #?
- Lim x#rarr# #oo# #(2-t+sint)/(t+cost# heelp me please?
- Lim x#rarr# #oo# #sin(2x)/x# help me?
- Find the lim x#rarr# #oo# #sinx/x# help me?
- Lim x->0 f(x)=ln(1+x)-tanx/sinx-tanx What is the lim for this function as x tends to 0?
- Differentiate y=x cosh^-1(square root 4x+1) with respect to x?
- How do I integrate #intdx/(sqrt(x)(sqrt(x)+1))#?
- Find the equation of tangent at point (x,y) to the curve x^(2/3)+y^(2/3)=a^(2/3)?
- What is #lim_(x -> 0) (sin^2 5x)/(sin 15x )# ?
- 3^x(sqrt(9^x-1))dx integration?
- How to integrate #int 1/(sqrt(x)(x+7)) dx# by trig substitution?
- Find dy/dx if given e^y = (2/sinh x)+ tan^-1(xy)?
- If #u=ArcTan{(x^3+y^3)/(x-y)}# then show that #x(delu)/(delx) +y(delu)/(dely)=sin(2u)#?
- What is the value of the limit below?
- #int (sin(x-3))^4 dx# ?
- Help me to solve this question please?
- Length of a curve of r=1-sin theta?
- How to prove or dis prove ? #if lim_(x->a)f(x)=b and lim_(x->b)g(x)=c# then #lim_(x->a)g๐f(x)=c#
- How do you solve this differential equation with power series? #y''+x^2y'+xy=0#
- How to evaluate limit towards zero at sin5x/sin2x?
- What's #lim_(x to oo) (10x^(4/3) -2x^(1/3))/(27x^4+5)^(1/3)#?
- How would I find the volume of a circle with the equation x^2 +y ^2 = 4 that has cross-sections that are semicircles?
- Differentiate f(x) = In 1/x ?
- What do I do to implement the #x^2# into this series? #x^2sum_(n=0)^oo(na_nx^(n-1))#
- What is the Integration of (e^cosx sin2x dx)?
- Integration Xsinx/(1+cosx)?
- What is the derivative of csc(3x)?
- How to do this question? Lim (x rarr 0) tan3x/2x
- The limit of (1-sinx+cosx)/(1+sinx+cosx) if x--> pi ?
- How do you find the limit of [(e^(x^2))/(x.e^x)] as x approaches ~ ?
- What are the exact coordinates of the point where the normal line to the parabola y=4x-x^2 drawn at the point (5,-5), intersects the parabola a second time?
- The approximate value of #y = (4 + sin x)^.5# at #x = .12# obtained from the tangent to the graph at x = 0 is ?????
- #lim_(x->0)(tanx-sinx)/(x-sinx)#?
- How do you find the limit of [(3^x - 1) / (2^x - 1)] as x approaches 0 ?
- How do you find the limit of [1/(x−1) - 1/(lnx)] as x approaches 1?
- Evaluate using the definitions of derivatives?
- What is the first derivative of #sin^2(6x)#?
- What is the derivative of #y= tanh^-1(cos^-1(x^2))#?
- Differentiate y = x cosh^-1(square root 4x + 1) with respect to x?
- Given sinh^-1X =ln y, show that (1+X^2)d^2y/dx^2 + x(dy/dx) = y?
- What is the relationship between Critical Points and the following?
- If y=x^4 why inflexion point did not exist there ?
- Differential Equations Problems 5/a ?
- What is lim x → 0 ( ln x )^2?
- What is the instantaneous rate of change at x=2 of the function f(x) = (2x+5)(3x-2) ?
- How do you evaluate #\int _ { 2} ^ { x} ( 3t ^ { 2} - 1) d t #?
- What is #int (3sin^2x)/(cos^3(3x)) dx#?
- How to integrate integral 1/(x^2sqrt(x^2+9))?
- Differentiate y=cosh^-1(square root 4X +1) with respect to X?
- Can anybody help with a Calculus problem?
- Differentiate In(xe^-2x)?
- If x = t-sin t and y = 1-cos t, find dy/dx?
- Find the equation of the tangent and normal to the following curve at the indicated point y= 3x^2-x+1 at (1,3) ?
- What is meant when any domain of function is written in this perenthesis [domain of function[ ??
- Limx→∞ √(x+1) - √x ?
- . A box with a square base is open at the top. If 64 cm2 of material is used, what is the maximum volume possible for the box?
- Show that f differentiable at (0,0) ?
- Solve ((X^2)+1) divided by ((x^3)+1) When limit approaches to infinity ?
- How to differentiate this function? f(x) = ln ((1/cos x) + tg (x))
- #xy''=y'+x(y')^2#? pls solve it special second ordered equation
- Find limit x approaches to infinity of #(3/4)^x# ?
- Find #lim_(x->oo) (6x+1)/abs(-2x+6)# algebraically?
- How can I do #∫ex^3 x^2 dx# this?
- How do you solve #int_1^oo 1/(5x+1)^2 dx# by using improper integrals?
- Let f(x)=−3ex+4+e−3. What is f'(0)?
- How do you solve #int_-oo^-1 e^(4t) dt# by using improper integrals?
- How integral of #sec(x)tan(x)dx# is #sec(x)+C# ?
- 3. You have 200 ft. of fence with which to fence off a rectangular plot of ground on the banks of a river. How should you arrange the fence in order to get the largest plot?
- What is the definite integral?
- What is the positive value of n?
- We have #X_n=sum_(k=1)^n1/(2k-1)-1/2logn# #lim_(n->oo)X_n=#?
- #(dL)/L = \alphadT + 1/(sE_T)df \rightarrow ln(L/L_0) = \alpha\DeltaT + f/(sE_T)# Is that mathematically correct ?
- Integration from #1/2# to 2 of #(tan^-1x)/(x^2)-x+1dx?#
- How do you find the limit of #\lim _ { x \rightarrow 3} 5\cdot \frac { \sqrt { x + 1} - 2} { x - 3}#?
- How to solve the limit of this function?
- What is the limit of #(x^4+5x-3)/(2-sqrt(x^2+4))# when x goes to 0?
- Which of the following is an antiderivative of f(x) = #sqrt(1+x^3)# ?
- How do you differentiate this problem?
- How do you calculate the derivative of f(x)=sin(x)^sin(x)?
- What is #dy/dx# when #y=(arctanx)^(tanx) , x>0?#
- The derivative of cos^3 x?
- What is the slope of #sqrt(x)# at x = 0 ?
- Find the slope of the curve at the given point? 4y^8+9x^6=5y+8x at (1,1)
- What is the derivative of #(7y+y^2)/(1+y)#?
- How we determine the value of the y-intercept of a line with the slope of 1 that is tangent line to the curve -2x^2+5x+4 ?
- How do I find the double integral to find area of region enclosed by one loop of the curve r = cos theta ?
- What is the limits?
- Please Find the limit of 2x^-5 as x approaches -infinity?
- How do you solve #intx/(x-4)# #dx#?
- How do you find the limits?
- Differentiate with respect to x ? Que :1. Tan(3x+2).
- What is the limits?
- Whats the derivative of ((x^2+4)/5)^5?
- What is the limits?
- W=xsiny+ysinx+xyz how to solve by partial derivative?
- Find the derivative of the function. Simplify where possible. 3.6 #23 y= cos^-1(e^(2x))?
- On what interval is the function f (x) = x^3 e^x increasing?
- Find the equation of the tangent line to the curve at the given point?
- How can this limit exist?
- How to solve #intcoshxsinh(sinhx)# #dx#?
- Lim tan(1-cosx)/xsin3x ? x-o
- Find the derivative of (cosx)^4?
- Consider the equation x^3+y^3+5xy=65. (a) Find dy/dx in terms of x and y? (b) Find the equation of the tangent line at the point (3,2)?
- #lim_(x -> 1) (x+x^2+cdots+x^n-n)/(x^2-1)# ?
- How we can prove this by using the limit definition?
- How do you find the f(x) and f(a) 0f lim h-> 0 #(5^(2+h) -25)/h# ??
- What are the inflection points of f(x)?
- What is the derivative of lne^2x?
- How to Derive R(Y)=3cosy - 4 /siny ?
- How do you differentiate y=e^x/x^2−3x−1?
- What is the limit of (x^n)/(e^x) as x approaches infinite?
- For which values of x does the graph of f(x)=8x3+24x2−72x−96 have a horizontal tangent?
- If f(x)=3sinx+11cosx what is...? a)f′(x)= b)f′(7π6)=
- #int(x^-4 - sqrt(x^3) + 7)^2 dx#?
- How do you differentiate y=sinq/1+cosq ?
- Hw do you prove that the d/dx (secx) = sec x tan x ?
- 1/(3x+7)^2 dx ?
- How to integrate #int sqrt((1+x)/(1-x)) dx#?
- How to solve? #lim_(n->oo) ((4*n^2 + 6*n + 3)/(4*n^2 + 7*n - 2))^(7*n + 5)#
- How do you evaluate #\lim _ { x \rightarrow 2} \frac { \frac { 1} { x } - \frac { 1} { 2} } { x - 2}#?
- Lim (a^x) when x->∞ ?
- How do you solve limit for lim as #x# approach #2# at #(2x+3)/(3x^2 - 4x - 4)#?
- A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=8-x^2 y=8−x 2 . What are the dimensions of such a rectangle with the greatest possible area?
- If definite integral of 3x square + 2x + 1 = 11, from 1 to a find a?
- Absolute maximum and absolute minimum values of f on the given interval?
- Find value of limit x tends to 3- [ x-3]+| x+4| ?
- Can I use L'Hospital for a function where the numerator is undefined ?
- How to integrate this and the answer is: "-sec^-1 (e^-x)+c"?
- How do you simplify #e^int1 dx# ?
- What is the limit of #(x-27)/(x^(1/3)-3)# as x goes to 27?
- What is the limit of #(x^(1/3)-1)/(x^(1/4)-1)# as x goes to 1?
- Find diffrentiation of #y=log(sin x^2)#?
- What is the limit of #(x^3-1)/(x-1)^2# as x goes to 1?
- What is the limit of #(tan2x)/(x-Pi/2)# as x goes to #(Pi/2)# ?
- How do you integrate #\int \tan x + \sec x d x#?
- What is the derivative of #y = x^2 ln(2x)#?
- Find y' and y''? #y = x^2ln(2x)#
- How do I find f'(2) for f(x)= #1/(x^2+1)# ?
- U=x^(2) tan inverse (x/y) - y^(2) tan inverse (y/x),find (delta^2u)/(delx dely)?
- X^2 d^2y÷dx^2-3xdy÷dx+y=sin(logx)÷x solve?
- Find limit of #(2^x-3^x)/(3^x+4^x)# when x approaches infinity?
- How do you do this calc problem?
- Can you please help me ,Find f′(x) given that f(x) = 1/5X+4/15?
- What is the solution to this differential equation dx/dt-x/t=t ?
- What is #lim_(x to 3) (x^2-9)/(x^2-9)=#?
- What's the derivative of the function at the given point? #f(x)=1/x^(1/2)# ,at #(1/4,2)#
- It is a calculus problem involving implicit differentiation. I am unsure of how to find the horizontal tangent lines? Any help is appreciated thank you!
- How to solve #lim_(x->1) (x^(1/5)-1)/(x^(1/2)-1) ?#
- How do you find #dy/dx# of #y = tanh^(-1) (sinx)#?
- Is #f(x) =sin^2x*cos2x# concave or convex at #x=pi/3#?
- Integral of x^3+5x/x^2?
- Differenciate f(x)=x/x-1 where does this curve y=f(x) have slope -1?
- Lt {cos(n!2 pi x)}^(2m)=? m-->infinity n-->infinity where x is irrational number
- What is (√-1)²?
- Is the function given by f(x)= x+1/x^2-8x+12 continuous at x=2? why or why not?
- How do you find #(dy)/(dx)# of #tan(x+y+1) = y/sqrt(x+1)# by implicit differentiation?
- Find the positive value of n satisfying ?
- How do I finish this problem? In the end, I get 4=-200(dtheta/dt), and therefore -1/50
- How can I set up this problem and correctly get the answer? I have worked similar problems online, but this one deosn't seem to work.
- Let #f(x)= sqrt(|x^3+1|)#. How to show that #f(x)# is not differentiable at #x=-1#?
- Find the derivative y'=dy/dx of the following function using the derivative rules?
- F(x)=(ln3x)^4. Find the derivative of the function. How do I solve this problem using derivatives ?
- Prove please ?
- How do I complete step 3?
- Can anyone help me to find? the #lim_(x rarr 0) (xcos2x)/(cos5x )#
- How do I rewrite this with exponents?
- Find the intervals of monotonicity and the points of a local extremum of the function?
- How do you find where x = y^2 and x = y intersect?
- What is the derivative of #y = ln(xe^(x^2))# at the point (1,1)?
- How do you find the derivative of (ln(9x))^2?
- Can someone answer please?
- How do you find # \frac { d y } { d x }# if #y = \sin 3x + \cos 2x#?
- Y'?=e^2x-2y+2
- What is the equation of the tangent line to #y^2(y^2-4)=x^2(x^2-5)# at (0, -2)? Use implicit differentiation.
- Find the positive value of n satisfying ?
- Can someone answer with full working out please?
- Answer please?
- D/dx ln(4x)^1/2 ?
- How to derivative f(x)=xe^x/(x+1)^2 ?
- F(x)=x/1+lnx Find derivative?
- What is the Derivative of # y=(3u-2)^(1/3) (u+2) # ?
- What is #\int (3x + 5) dx#?
- What is the Derivative of e^2x?
- How do you integrate cos^2(theta)?
- How do you integrate #int1/(x^2sqrt(x^2-9))dx # by trigonometric substitution?
- How do you solve #int_1^oo 1/(root(3)x^4) dx# by using improper integrals?
- How to find the limit x --> 1 cos(1+x)-cos2/x-1 ?
- How do you find the limit of #x^2/(sin^2(2x))# as x approaches 0?
- Set up the integral for arc length and then approximate the integral with a numerical method?
- Let f(x) = 1/(x^2 + 1). Find equations of the tangent lines to the curve that pass through the point (2, 0) ?
- How do I do this problem? I need help using the inverse tangent derivative law, as well as what's inside its function operator.
- How do I investigate 1-cosh/h^2? My teacher wrote out half the solution below but wouldn't still = 0 after solving, not 1/2?
- Derivative of y=4+ln(sec(x))?
- How do you find ? #lim_(x->0)int_(0)^(2x)(e^(t^2))/(x+tan(x))#
- Determine the value of the constant ''a'' for wich the funcion is continuous at x==-5 f={(x^2+6x+5)/x+5 if x not equal -5 a if x = -5 ?
- How do you write the first four non-zero terms of the Maclaurin series for #sin(x^2)#?
- Lim x>0 sinx-xcosx/x?
- If #f:[0,1]->RR,|f'(x)|<1# how do you show #f(1/n)# converges ?
- Whats the derivative of Y= x square root of 1- x^3 ?
- Find the derivative using the derivative rules?
- Finding lim x->0 (sin7x + tan5x)/(x(3+xcscx)?
- Integration of sin^2x/cosx ?
- Find the equation of the tangent line, in a slope intercept form, to the curve?
- How do you find the area inside of the Cardioid r = 4 + 4 cos θ and outside the circle r = 6?
- Find the points on the curve #y = cot(x)# in the interval #0<=x<=pi# where the tangent is parallel to the line #y=-2x+3#?
- Find the derivative using logarithmic differentiation?
- #lim_(x to 2) 3x^2-2x+1# (long way)?
- How do you find the limit of #(x^(n+1)-(n+1)x+n)/(x-1)^2# as #x# approaches #1# ?
- How do I find the derivative of f(x)=1/x+2 using the limit definition?
- Each side of a square is increasing at a rate of 5 cm/s. At what rate is the area of the square increasing when the area of the square is 64 cm2?
- How to derivatives f(x)= e^(3x-x^3) ?
- Find the probability if 5 cards are dealt than all the cards are clubs?
- #Lim_(x to 0) (tan^-1 x) / x =#?
- What is the #lim_(x to oo) e^((x+3)/(x-2))# ?
- Intergrate 1/3+2(x-1)^2 ? Thank you
- Integration of #x/(a^3-x^3)#?
- Find the derivative of this function. #y=(5x-1)^4(5x^2-4)^-3# How do I solve this?
- How do you find the limit of this question without using L'Hospital's Rule?
- How to calculate solutions for integrals when base function is modified?
- Finding the limit as x approaches 1 The limit is to be found without l'hospital's rule. how?
- How do you find the formula for the sum of this?
- How do we find the general equation of sec^2y dy/dx+tany=x^3?
- How to solve this using differentiation ?
- Region enclosed by the cardioid #r= 2 cos theta+1#?
- Can someone please evaluate the integral? Int x cos^2(3x) dx Thank you
- The tangent to y=x^3 + ax^2 - 4x + 3 at x=1 is parallel to the line y=3x. Find the value of a and the equation of the tangent at x=1. Where does the tangent cut the curve again?
- How do you find the derivative of # y=(3x+1)^2(x-4)^(1/2) # ?
- We have #ainNN and L(a)=lim_(n->oo)1/nint_0^1|__n e^(ax)__|dx.#Which is the solution of inequation #L(a)<=e#?