# Calculus

### Featured Answers

### 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
- F(y)=3-y and g(y)=3y-y^2 finding following?
- What is the derivative of x to the x? d/dx (x^x)
- What will be the double derivative of sin(3x) cos (5x)?
- Using the graph of #f(x) = 2x^3 + x^2 - 3x+1#, what is the average rate of change from #x=-2# to #x=0#?
- How do you find #\int \frac { 2x + 5} { x ^ { 3} + 6x ^ { 2} + 9x } d y#?
- Compute ∫y*(y^4+y^2+4)^(1/2)dy ?
- Water flows on to a flat surface at a rate of 5cm3/s forming a circular puddle 10mm deep. How fast is the radius growing when the radius is? 1cm? 10cm? 100cm?
- Find the length of the curve defined by #y=18(4x^2−2ln(x)), x in[4,6]#?
- What is the equation of the line tangent at x = 1?
- What is the differential equation?
- Find the length of the curve defined by #y=3ln((x/3)^2−1)# from x=7 to x=10?
- How to find p ?
- Ow do you test for convergence for ∑ ln ( n )/ 2^n for n=1 to infinity?
- How do you integrate #int-x/(1-x^2)^4dx# using integration of rational functions by partial fractions?
- Compute this integral #int_(3^(1/2))^(35^(1/2))(x^2+1)^(1/2)/xdx#?
- Find the dimensions of the rectangle of maximum area whose perimeter is 16 cm ?
- Integral of (x+1)dx.??
- Lim x___0 sinhx -sinx/x^3 ? using L’ Hopital’s rule
- Linear/Separable Differential Equations Question (Engineering First Year Calculus)?
- Use the intermediate Value Theorem to show that x^(1/3)=1-x have at least a solution in [0,1]?
- Find the surface area of the solid of revolution obtained by rotating the curve x=(2y−y^2)^(1/2) from y=8/16 to y=31/16 about the y-axis?
- Find the surface area of the solid of revolution obtained by rotating the curve y=2x^3 from x=1 to x=6 about the x-axis?
- How to find dy/dx of y=xsin(x)+cos(x) ?
- How do you differentiate #f(x)=(2x^2-4x-1)/(x-5)# using the quotient rule?
- The volume of a cube is increasing at a rate of 10 cm^3/min. How fast is the surface area increasing when the length of an edge 90 cm?
- What is the area between two lines?
- #lim_(x->0)sin(1/x)/(sin(1/x))# ?
- Find #d/dx x^(x^x) #?
- Show that #f# is strictly increasing in #RR# ?
- Lim(e^x+x)^(1/x) as x→0+?
- Intergration (arcsinx)^2 ?
- What is the volume of the solid formed by the line?
- How to do these question?
- At what point does the graph of the function below have a minimum value?
- Integrate #intsqrt(9-x^2)"d"x#?
- The area of the region bounded by the curve y=x^2 and y=4x-x^2 is ?
- Integration by parts?
- What is the continuous solution to to the differential equation (x^2+5)y'+2xy=f(x), y(1)=1 where f(x)=0 when x<0, f(x)=x when 0<x<1 and f(x)=1 when x>1 ?
- Use first principles to find the gradient of #y=tanh(x)#?
- #(1)d/dx ( e^ -logx)=___?# #(a)1/x^2. (c)1/x (b)-1/x. (d)-1/x^2#
- Find the value of integral in the branch b?
- Find #dy/dx#of #y=x^logx +(log x)^x#?
- The volume of a spherical ball increase at the rate of 4π cc/s . Then the rate of increase of the surface area when the volume is 288π cc ? a)4π/3 b)3π/2 c)6π d)6
- Find Fxx of the following equation?
- When using integration to find an area, exactly which "area" is found?
- Evaluate the integral #int2x(ln(x^9))^2dx#?
- What is the integral?
- How to find the general solution for #x(x^2 + y^2)dy/dx = y(y^2-x^2)# using homogeneous ?
- How to find the limit for #lim x -> 0 ( 1/(xsqrtx) * int_0^sqrtx cos(pi/2*e^(t^2))dt)# with l'Hospital?
- Find an equation of the tangent line to #y=x+ 2/x# at the point (2,3)?
- Differential Equations Question (First Year Engineering Calculus II)?
- What is the area between the graphs?
- How to integrate #int(e^2x+e^-2x)/(e^2x-e^-2x)dx?
- Evaluate #int_(pi/2)^(pi/4)19xsqrt(1-cos(2x)dx# ?
- Prove the following?
- Can you demonstrate this propiety of integrals?
- Find the area of the region between the curve y=x^3 - 4x and the x-axis ?
- Putting z=x-pi/4 show that limit of (1-tanx)/(1-sqrt2 sinx)=2 as x approaches to pi/4?
- For #f(x)=x-x^2# what is the equation of the tangent line at #x=1#?
- How to determine dy/dx if #y=(cosx)^π#?
- How do you determine dy/dx if #y=x+tan(xy)#?
- What is #int_0^(pi/4) cos^(2)8thetad theta#?
- How do you differentuate #y^2=sin^4(2x)+ cos^4(2x)#?
- find the critical numbers of #f(x) = 2x^3+x^2+2x#?
- For the function, approximate the area under the curve on the specified interval as directed?
- How do you find ? a) the inverse g(x) of the function f(x)? b) graph f and g together? c) verify the derivative formula for f and g at the point c=2? {If f=x^3-1}
- Solve the following differential equation #y'= (2x)/((x-1)^2(x+2))#?
- Limit of #lim_(x→0^+)(e^x+x)^x#?
- Answer the following questions: Please refer to the questions in the image: Thank you?
- Use an appropriate substitution and then a trigonometric substitution to evaluate the following integral? #int \ x^3/(sqrt(49+x^8)) \ dx#
- What is the indefinite integral of #1/(1+sqrt(x+1))#?
- Please show the integration of #(x^3)/((x^4+7)^8)dx# step by step?
- What isthe area bounded by and from #x=pi/4# to #x=(5pi)/4#?
- How to find the general solution of #x dy/dx = xy + y# ?
- Please help me with calculus?
- How to integrate 1/(64x^2+100)?
- What´s is the derivate of y=sin(3x^2) ?
- What is the 20th derivative of x∧-2?
- A hole of radius r is bored through the center of a sphere of radius R. find the volume of the remaining portion of the sphere?
- What is the derivative of (1+x^2)-1?
- What´s is the derivative of y=(x)(sinx)^3 ?
- What is the volume of the solid?
- A particle moves in a straight line so that at time t its displacement from a fixed origin is x and its velocity is v. If its acceleration is 4 + x and v = 1 when x = 0, what is v when x = 1?
- Whats wrong with my extreme points of my partial function (x,y)?
- Integration of #x^3cosx# ?
- What is the derivative of #f(x) = e^(x*logx)#?
- How to evaluate #lim_(x->1) (x-2)/(x-1)# ?
- Hello, need help with this one question. Given that the curve y=ax^2+b/x has a gradient of -5 at the point (2,-2), find the values of a and b? Thanks
- Find the derivative of #ln(sqrt(((1-cosx))/((1+cosx))))#?
- Find the volume of the solid generated by revolving the region bounded by x=Siny,x=1,and x-axis about y-axis?
- What is the derivative of #f(x(t),y(t))=(a(t^2-1/t^2+1)^(1/2),at(t^2-1/t^2+1)^(1/2))#?
- Find the derivative r=(csctheta + cot theta) *-1?
- Solve #e^x-lnx<=e/x# ?
- For a continuous function #f#, is it generally true that #\int_0^2 f(x)dx = \int_0^1 f(2x)dx#?
- Determine the Fourier series expansion for full wave rectified sine wave i. (details inside)?
- What is the integral of sen(1/x)?
- Differntiate Y=4x+3÷xsq+5?
- Find an equation for the line tangent to the gragh of y=arccotx at x=-1?
- Intergration dx/sqrt 4x-x^2?
- Solving this using riemann integral?
- How to do this question?
- How to increase accuracy of trapezoidal and simpson rule in calculus?
- How to do question 10?
- A spherical balloon is being inflated. find the rate of the surface area S= 4*pi*r^2 with respect to the radius r when r is a) 20 cm b)40 cm?
- 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.
- Need help Solving the following first-order linear differential equations? #y'-4x^(3)y=8x^3#
- Find the area bounded by the following curves : #y=x^2-4,y=0,x=4#?
- Need help with a growth problem ?
- Please help me with this calc question?
- Find the general solution of the following differential equation? #y' =sqrt(x+y)#
- Find the derivative of #sqrt(3x-5)# using the definition of the derivative. Help?
- Find the general solution of the following differential equation? y'= ye^x - y
- Find any extrema of the function #f(x,y)=e^{-xy/4}# subject to the constraint #x^2 + y^2 <=1# ? I desperately need help with these problems as I do not understand them. Thanks!
- Find the derivative of 3+2cosθ?
- Find the instantaneous rate of change for the function at the given value? F(x)x^2+3x at x=-1
- Let f=(x/2)+3 be defined on the closed interval {-2,4}, estimate the area under the graph of f above the x-axis using: a. 6 left endpoint rectangles b) 6 right endpoint rectangles?
- Find the point on the parabola y=x² nearest to the point (-3,0)?
- What is a derivative?
- A rancher wishes to create 4000 square meter rectangle enclosure. Two fences parallel to two of the sides will be used to create three equal areas. Find the dimensions of the fence that will require the least amount of fencing? Please help
- How to solve #xy(dy/dx +1) = x^2 + y^2# by finding the general solution?
- #f(x,y)=0 ify<=0 ory>=x^4# #f(x,y)=1 if 0<y<x^4# (a)Show that #f(x,y)rarr0# as #(x,y)rarr0# along any path through #(0,0)# of the form #y=mx^a# with #0<a<4# (b)Despite part (a), show that #f# is discontinuous at #(0,0)# (c)Show that #f# is discontinuos ?
- Question 18?
- Help with an indefinite integral?
- How do you evaluate #int (x^2)/(x^3+27)dx#?
- What is the general solution for #dy/dx = 2y-3# ?
- How to find the general solution #(x-2)dy/dx - y = 0# ?
- How to do these question?
- How to find the general solution of #x dy/dx = -y^2# ?
- How to find the general solution for #xy (dy/dx - 1)= x^2 + y^2# ?
- What is the difference between implicit and explicit differentiation,give me an example?
- How to do question 4?
- What is the limit of #lim_((x,y)->(0,0))x^3/(x^2+y^2)#?
- How do you differentiate #f(x)=(-4x)/(x^2-1)# using the quotient rule?
- Differentiate 1-√ax?
- Differentiate #y=e^(x^(1/2))#? Use the limit definition of differential coefficient only.
- If dy/dx = 3sin(3x)+e^3x, and y(x=0) = 0, find y(x)?
- Please help #f(x)=6x^5-10x^3# a. find the #x# coordinates of all max and min points. b. State the intervals where f is increasing?
- What is the limit of #lim_((x,y)->(0,0))x^2/(x^2+y^2)#?
- (Sinx+cox)dx ?
- How to prove that #int_0^oo##(e^(-alphax)sinx)/x dx=cot^-1alpha# given that #int_0^oo sinx/x dx = pi/2#?
- How to derive power reducing formula for #int(sec^nx)dx# and #int (tan^nx)dx# for integration?
- Find the length of the given curve? #f(x)=ln(cosx), x in [-π/4,π/4]#
- How do I solve this?
- What is the differentiation of sin6x^2?
- The coordination of a particle in the xy-plane are differentiable functions of t with dx/dt=-1m/sec and dy/dt=-5m/sec. How fast is particle's distance form the origin changing as it pass through the point(5,12)? I desperately need help with these problem
- limit x tends to 0 sin^2x/1-secx?
- How to differentiate #y = e^sqrt(1-x)#. And how to eliminate e from the equation?
- Find the integration of ∫ [1-2(x^2)]dx use a substitution to find antiderivative?
- Find this limit: lim arctan(n!) , n->infinity ?
- Find the integration of ∫ [1-2(x^2)]dx limit from 0 to 1?
- How can i solve this equation ?
- Find the general solution of #(dy/dx) = y^2-4# ?
- Find the general solution of #x(dx/dt) =t+2# ?
- Integration of sec^x(x)/√tanx?
- Differentiation of x-1/x+1?
- Is #f(x) =(x-1)^3/(x^2-2)# concave or convex at #x=8#?
- Find the derivative of x^3+5x?
- How to know that the poles of #sinz/{zcosz}# at 0,+π/2 &-π/2 are simple poles?
- Finding whether the following integral converges or diverges?
- I'm a bit confused with finding the volume between two curves?
- I have a Work word problem I need help completing?
- If y=sin(a+bx) then find yn?
- What will be the volume of the cylinder: #x^2 + y^2 = 4# and the planes #y+z=4# and #z=0#?
- Question: Find the particular solution #y_p(x)# of homogeneous linear equation of the 2. order with constant coefficients. How do I solve it? Thank you! (pictures below)
- How to find the derivative of (cosec^2x) ?
- Question: find a general solution of homogeneous linear difference equation of the 2nd order with constant coefficients. How to solve it? Thank you. (pictures below)
- My question is: "find the particular solution y(x) of the given differential equation which complies with the initial condition" # xy'+x^2=2y# with #y(1)=0# How to solve it? Thank you!
- Please help with this differentiation question?
- #int_theta^(pi/2) 1/(3+sin^2theta)d theta#?
- Hi everyone! My question is: "find the general solution y(x) of the given differential equation": #xy'+y=x^6# How do I solve this? Thank you for your answer!
- How to find the minimum from this equation?
- Evaluate the limit as x tends to infinity #(cos x+sin x)/x^2#?
- How to solve #int frac{x*dx}{sqrt{2x-x^2}}# ?
- How could I prove this? Would this be using a theorem from real analysis?
- Double integrals: #int_0^1 int_(y-1)^(y-3) (x^2+2y) dxdy# ?
- Use differentials (linear approximation) to approximate #25/(3.1^2+3.8^2)#?
- Someone could help me please? lim x --> + infinity 2 - 1/x + 4/x^2
- #int_0^2 int_(y-1)^(y-3) (x^2+2y) dxdy# ?
- Can someone help me find the Maclaurin series for the given function?
- Double integrals #int_0^1 dy int_0^1 (3x+y)dx# ?
- Dy/dx = y - 2x how to implicity differentiate?
- Find the derivative of f(x)= x^3/2 using the limit definition ?
- Find the area enclosed by #y^2-4x+4=0# and #x-y=4#?
- How is the integral (x*(cosx)^2) / (senx)^4 ?
- How will you prove the following?
- What is the antiderivate of ∫1/(x^2-2x+2)^2?
- What is the equation of that the tangent line to the curve y = x^1/3 at the point (8, 2)?
- Improper integrals ? #int_e^oo(1)/(x*(ln x)^3)dx#
- Where #f(x) = 1/(x-e^x)# is increasing?
- How do you write an equation of the line tangent to the graph of the circle whose equation is #x^2+y^2=16# at the point (0,4)?
- How do you express the concept of the rate of decay of a radioactive substance as a differential equation?
- Find the derivative of sqrt(sin^2(x)) ? I can’t figure this out (using chain rule, product rule, etc)
- What is an appropriate differential equation, and what is the answer for V?
- How is the integral of #int x / ( sinh(x) + cosh(x) ) dx#?
- What is the limit of #x^(1-x)# as x approaches 1? The hint is "Use the properties of logarithms to simplify the limit". But I just can think in the straight answer 1, by substitution. Can someone develop in steps using this hint, please?
- How do you find the derivative of f(x)=3x^2 ?
- How do you find the derivative of f(x)=x^-4 using limit definition ?
- Solve this, please ?
- How? solve this please
- Can you solve this limit simply by l'hopitle rule or is there a more complex method by which you can go about this?
- What is the derivative of #f(x)= (2x-3)^3 (x+1)^2#?
- What is #lim t->-∞# of #(t^2+2)/(t^3+t^2-1)#?
- How do you find #lim_(theta->0)# #((1-cos^2 theta)/theta ^2)#?
- Show that the equation of the tangent to the curve y = xtanx at x=x/4 (2+pi)x-2y=pi^2/4 ? Thank you
- How to differentiate this function to find f'(7)?
- Prove using the #epsilon-delta# method that #lim_(n->oo) (2n^2+1)/(7n^2+n+5) = 2/7# ?
- Show by differentiating that this function for x(t) does in fact satisfy the differential equation?
- Geometrically, the span of two non-parallel vectors in #R^3# is? one octant a line a point the whole 3-space a plane
- Show by differentiating that this function for P(t) does in fact satisfy the differential equation?
- Lim (1-cos(1-sen(x)))/((pi/2)-x)^(2)as x->pi/2 ?
- Y=cosx+sinx/cosx-sinx find dy/dx?
- How do you solve this question?
- Darivative of [{(sinx×sinx)+sinxcosx }/{(cosx×cosx)+sinxcosx}]=?
- Why k mustn't be equal to 1 to use this formula? #int1/sqrt(x^2 + k) = ln|x + sqrt(x^2 + k)|#
- Integration of (x+1)dx?
- Integral(x³×ln(√x))dx ?
- Int_theta^pi/2 1/3+Sin^2theta?
- What is the limit for the following?
- Can someone explain this?
- Evaluate the integral ∫ |x|dx limit from -1 to 1?
- If f''(x)= -f(x) and g(x)= f'(x) and F(x) = (f(x/2))^2 + (g(x/2))^2 and given that F(5) = 5 then F(10) equals ? (hint : answer is an integer from 0 - 9)
- Radical cosx * Sinx dx. U=? (Don’t integrate)
- 2x/x^2 -2 dx U=? Don’t integrate.?
- Using the limit definition, how do you find the derivative of #3/(x-2)#?
- How do you evaluate #lim_(theta->0)# #((sin2thetatan3theta)/theta^2)#?
- #d/dx[(cosx-cos2x)/(1-cosx)]=#?
- How do you find the area of the region bounded above by the parabola y=2-x^2, and below by the line y=-x' ?
- A certain TV station has 1000 customers paying $20 each month. If each $1 reduction in price attracts 100 new customers, find the price that yields maximum revenue. Find the maximum revenue ?
- How do you find the lim & definite integrals ? for :{lim as x approaches 0 (1/x^3) * integrals (t^2/t^4+1)dt} intervals{0,x}
- Calculus integration help needed..? See the attachment below. Thanks :)
- How to find area and value of p between region with integration?
- How do you find the value of t for which (dy/dx)=0 ? .... given x= 80t and y=64t -16 t^2
- Integrate x-1/(x+1)²?
- #int_x^2e^(3x)dx# solve?
- If log (x.y)=x^2+y^2 , find dy/dx?
- How do I solve this ?
- In which regions is this function increasing or decreasing? and in which regions is it concave up or concave down?
- How do I find the tangent line of this function at x=1? y = f(x) = ln(x^2 + 4x + 1) Please show working!! I'm super confused
- Integrals Question With approximately what velocity does a diver enter the water after diving from a 30-m platform? (Use g=9.8m/sec). Thank you!!!
- Use the limit definition to find the derivative of #5+4x-2x^2#?
- How do you differentiate y = f(x) = e^((3x^2)+5x) with respect to x?
- How can I calculate #int_-1^0(x^2*sqrt(1+x^3))dx# ?
- lim 𝑥→∞ (1+ 2 𝑥 )3𝑥 ?
- A farmer wants to make a rectangular pasture with 80,000 square feet. If the pasture lies along a river and he fences the remaining three sides, what dimension should he use to minimize the amount of fence needed?
- Does the sequence converge or diverge? #lim sin(4n)/(7+sqrtn)#?
- What the area of the figure bounded by the given curve x=2(t - sin t) y=2(1- cos t), (0 ≤ t ≤ 2pi) ?
- Find lim x--->0 (e^3x - 1/ 3x) ??
- When will the slope field for the differential equation #dy/dx=(yx^2+xy^2)/(3x+y)# have horizontal segments?
- How do you find the volume of the solid obtained by rotating the curve about the y-axis over [0,1]?
- Find the point on the curve y=cosx closest to the point (0,0)?
- Find the integral below?
- Find the dimension of the box that will minimize the total cost. Find the minimum total cost ?
- How to differentiate ln#x/2# and ln(#√(1-#1/x#)#) respect to x?
- #int_theta^(pi/2) 1/sin^2theta# is?
- How to differentiate #y=x^tanx# with respect to x?
- How do you evaluate #\int \sqrt { x ^ { 3} } \cdot d x#?
- What is the limit of sin(1/x) as x approaches 0?
- Prove that d/dx ( 1 + sinx + cosx/ 1 - sinx + cosx) = secx ( secx + tanx) ??
- How do you solve the limit (e^(x)-1)/(sin (2x)) as x approaches 0?
- How do you find the Limit of h ln h as h approaches 0+?
- Evaluate the indefinite integral:∫sqrt(10x−x^2)dx ?
- Find maxima and minima of f(x)= 5sinx + 5cosx on a interval of [0,2pi]?
- How to solve with integration?
- How to find points are area with intergration?
- Find out a function (fx) so that as x gets closer to 1, value of f(x) gets bigger?
- How do you evaluate #lim_(x->0)# #(cosax-cosbx)/x^2#?
- How can you define different continuous functions #f(x)# and #g(x)# with #f(0) = g(0)# and the same average rate of change over the interval #[0, 2]# ?
- How to draw the region R whose area is given by the iterated integral. Then change the integration order and show that both orders give the same area? With step by step solution please?
- How to calculate this? #d/dx(int_0^(x^3)ln(t^2+1)dt)#
- How to find the coordinate of D and E?
- How to calculate this?
- Can someone please explain how you calculate df/dx? Thank you!
- For #g(x)=x^(3) +2x^(2) +cx +k# (c and k are real numbers) : a. If g has exactly one stationary point find the value of c. b. If the stationary point occurs at a point of intersection of #y=g(x) and y=g^(-1) (x)#, find the values of k?
- Given that #xe^y = x+1#, show that #e^y + xe^ydy/dx = 1#?
- Can someone solve this? :)
- How do I find an equation for the tangent line to the graph of #f(x)=(sqrt(x))/(4x-8)# at the point #(3, f(3)#)?
- What is the integration of 1/(1-sec(θ)) dθ?
- Integrate the following (below) using infinite #\bb\text(SERIES)#?
- Find (and prove) a general formula for integration of a^(bx) cos(cx) dx for any constants a, b, c?
- Fundamental theorem of calculus: Local max of f(t)?
- If y^3 - 3x^2 y - 6x = 0, show that (y^2 - x^2)d^2 y/dx^2 + 2y(dy/dx)^2 - 4xdy/dx - 2y = 0 ?
- How do you evaluate the indefinite in integral? Use C for constant integration
- How would you evaluate the following the indefinite integral? (use C for the constant integration)
- Find the Riemann sum of f(x) = sinx on [-p,p]by using four subintervals of equal length and midpoint rule?
- A particle moves in x-y plane so that at any time t its coordinates are x = t^2 - 1, and y = t^4 - 2t^3. What is its acceleration vector at t = 1?
- A curve in a plane is defined parametrically by the equations x = t^3 + t and y = t^4 + 2t^2. What is the equation of the line tangent to the curve at t = 1?
- A curve is given by the parametric equations #x= c (1 - sinA)# and #y= c (1 + cosA)#, what is #dy/dx# when #A= π/3#?
- Find the initial value problem in #dy/dx=(y^2+4x^2)/(4xy)#?
- Find a complete solution in( d²y/dx²)-4dy/dx+13y=24e^2x+ sin 3x?
- #int 1/(1-sin^4(x)) dx=#?
- Evaluate the integral ∫2sds limit from a to b?
- #dy/dx+y/x=x^2y^6#?
- Solve xy^1+4y=x³y²?
- Tan(2x+3). Differentiate it?
- What is the integral of #int(sec^2x)/sqrt(4-sec^2x)dx# ?
- What is the answer in sum to infinity if n/5^n??
- How do you find the limit of sin(theta)^theta as theta->0?
- What is the improper integrals sqrtx ln 5x dx from 1 to e ?
- How do you solve this sigma problem?
- #int(2x+1)/sqrt(x^2+10x+29)dx#?
- What is the #lim_(x to oo) sqrt x ln ( 1 + sqrt(x + 2) − sqrt x )#?
- Give a small proof of the above?
- Use the shell method to find the volume about the x-axis? y=1/2x^2 and y=0 around the x-axis from x=0 to x=6
- How to integrate 2x sec^2 x dx?
- What the area of the figure bounded by the given curve y=(x*(sqrt36-x^2)) (0_< x_< 6)?
- Find #int_0^1f(x)dx# ?
- Int (x/a+x^2)^3 dx = ?
- Limit n goes to infinite ( sinx/x)^1/n = ?
- How to integrate #int_0^1x^2e^(4x) dx# ?
- What is the limit as x turns to 0 of x^sinx?
- Show that #|z+1|+|1+z+z^2|+|1+z^3|>=1# ?
- What is the limit as x turns to infinity of #x(ln(x+3)-ln(x-3))#?
- If f(x)=lim of 1/(1+nsin^2pix) as n approaches to infinity,find the value of f(x) for all real values of x?
- How do you find #\int ( 4- 3\cos x ) ^ { \frac { 1} { 2} } d x#?
- Find the Riemann sum of f(x) = x2-1 on [0,2] by using for subintervals of equal length and midpoint rule?
- Can someone solve this :)?.... dx+(x-1/2x^3y)dy=0
- Does anybody know how to solve this?.....yy''=y^2y'+y'^2
- #lim_(x->0^+)((x+1)^x + 1)^x=#?
- Need help with part b)! How do we show that this is true?
- How I finish this proof using the definition of limit for this #lim_(x to 2) (-1/(x-2)^2) =-\infty #?
- Differentiate: tcos(t^2) ?
- Find the #lim_(x rarr oo) sinx/x# help me?
- How derivative of (1/cot(x)) = sec^2(x) ?
- Evaluate the integral of (x√x-√3dx using substitution method?
- Set up expansion formula for Taylor Series #f(x)=\root(3)(x)# centered round #a=1#?
- How to find the coefficient of any term in the power series expansion?
- Limx→∞(3^n+2)/(3^n+5)=??
- The function #f:f(x)=-|x|+1# is decreasing in the interval...?
- Determine the values of #p# for which the integral below is convergent?
- #y=sin(msin^-1x)#, then check whether or not #(1-x^2)y_(n+2)-(2n+1)xy_(n+1)+(m^2-n^2)y_n=0#, also find #y_n(0)#?
- If the normal to the curve #y=xlnx# is parrallel to the straight line #2x-2y+3=0# ,then the normal equation is...... a.#x-y=3e^-2# b.#x-y=6e^-2# c.#x-y=3e^2# ?
- Sin^3x derivative?
- What's the Limit of x^(1/lnx) as x approaches zero from the right?
- A street light is at the top of a 15 foot tall pole. A 6 foot tall woman walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 50 feet from the base of the pole?
- Form a differential equation if #y=e^x#?
- Help me find the derivative of #sinx+x^2y=10#?
- What is the limit of #|x|# as #xrarroo#, in other words, what is #limx(|x|)rarroo#?
- There is a right circle cyclinder inside a sphere with radius #8m#. What is the largest surface area of the right circle cyclinder?
- What is the limits of : #LIM_(x->0) (e^(2x)-1)^(x^2)# ?
- Solve the homogeneous ode 2xy²dy-(x³+2y³dx=0?
- How to find the integral of πcosπx?
- Use the definition of the derivative to differentiate Y= 1/x+1 ?
- #x^2 cosx dx# intregrate?
- Differentiate #cos(x-2)/sinx#?
- Transform the differential equation (day/dx)-(4x+6y+5)÷(3x+2y+4) into separable equation hence solve ?
- How do you integrate (x+3)ln^2(x+3)dx?
- Calculus: Find g'(3) if g(x)=x2^(h(x)) where h(3)=-2 and h'(3)=5??
- Y'-(1/tgx)y=(sinx)^2....y(pi/2)=2....can someone solve this? :)
- What are the critical values, if any, of #f(x)=(e^(x^2)+6e^x)/(x^2-x)#?
- Calculus: Suppose that f'(2)=3. Find limit as x approaches 2 of [f(x)-f(2)]/[sqrt(x)-sqrt(2)]??
- Given the equation in picture below, what is? : a. #f'(x)# b. the derivative of #e^(f(x))#
- Can someone help me find the derivative of e^2y+x=y ?
- Help with Calculus?
- How do i solve the following summation problem?
- Evaluate the integral of (x√x-3dx)?
- The manager of a CD store has found that if the price of a CD is P(X)=82-(X/6), then x CDs will be sold. Find an expression for the total revenue from the sale of x CDs (hint: revenue= demand x price) Use your expression. What is the maximum revenue?
- Use Rolle's theorem to prove that the equation x^3 -15x + c = 0 has no more than one root in the interval [-2, 2] ?
- Please Evaluate the problem?
- If 0< a_n <b_n and the series a_n diverges then the series b_n diverges. Is this statement true or false?
- How is the infinite series from n=0 to infinity of 3(2^(n+1))/5^n=10?
- How do you differentiate #xarctan(x)#?
- Evaluate #int3sin^3(3x)cos^3(3x)dx#?
- Evaluate the integral sin(12x)cos(3x)dx?
- Express the integrand as a sum of partial fractions and evaluate the integral. Integral (6x^2+2x+7)/(x^3-1)?
- Evaluate the integral 16tan^3xdx?
- (2y - 1/ x + cos (3x) ) (dy/dx) + y/x^2 - 4x^3 + 3y sen 3x = 0 Exact equations ?
- Sketch the region enclosed by the curves x=y^2-4y, x=0, y=0, y=4 and find its area?
- If #e^x+e^y=e^(xy)# Then, dy/dx=?
- Evaluate this integral of ydy/√y+1 using substitution method?
- Can you solve this please? Thanks much #(y+2/x^2)dx+(x-3/y^2)dy=0#
- How to check the dfifferentiability of f(x) where f(x)=|2x-3| at x=1?
- Let f’’(x) = x(x+2). True or false: isThe point x = -2 an inflection point of f(x)?
- What is e(exponential) term in intigration?
- Differentiate the following functions with respect to x ? y=(x+2) sqrt{x-4}
- How to evaluate this limit?
- What is the derivative of #f(x) = x^2/(e^x-1)# at #x=0# ?
- (a) Determine Δx and xi. Δx= xi= (b) Using the definition mentioned above, evaluate the integral. Value of integral ?
- 𝐼𝑓 𝑦=𝑠𝑒𝑐^2 𝑥 𝑐𝑠𝑐^2 𝑥 ,𝑡ℎ𝑒𝑛: 𝑑𝑦/𝑑𝑥= …?
- A particle’s acceleration is given by a(t) = 3. At t = 0, the particle is 7 units to the right of the origin and has a velocity of 3 units of distance per unit time to the right. Write an equation for s(t)?
- Use the derivative (below) to find the integral of #cos^nx dx#?
- Integral #int(tg^2x+tg^4x)dx# ?
- Differentiate # y = 9/(2x + 3#?
- What is the maxima and minima value of sinx+sin2x+sin4x+sin5x?
- Integration of root x over x plus 5? Thanks
- Consider the differential equation f'(x)=3x^2 -3x+5? What is the general solution for the differential equation?
- How to determine the general solution to the system of differential equations ? #y'_1(t) = 9y_1(t) - y_2(t)# #y'_2 (t) = y_1(t) + 7y_2(t)#
- Can you please solve this in calculus? Thanks #y''''+2y'''+2y''+2y'+y=1/2cosx+xe^x#
- Find the arc length for the following question?
- Determine the local max and/or min and intervals of increase and decrease for the function f(x)=√(x^2 - 2x +2) ?
- Lim xcscx x →0 how to get the answer ?
- Suppose #g# is a function whose derivative is #g'(x)=3x^2+1# Is #g# increasing, decreasing, or neither at #x=0#?
- 1+e^x dy/dx+e^x(y)=0? Sir please solve this it will be done through integrated factor
- Can you saolve this please? thanks! #y''-2y'+y=e^x/sqrt(4-x^2)#
- Let C consist of straight lines joining #(3,1,2), (2,1,5),# and #(1,0,1)#. evaluate the integral of #phi(x,y,z)=xyi+yzj+xzk# around C?
- How to solve that??#int_2^8|5-x|dx=?#
- Find initial position via intergration???
- How do we show that this is true?
- How to do this question?
- How do you find integral of x/root(x^2-1)dx ?
- What is the answer to?
- Find the lateral surface area of the cone generated by revolving the line segment y = x/2, 0<= x <= 4, about the y-axis. Check your answer with the geometry formula? lateral surface area = 1/2 * base circumference * slant height
- How do you write the first four non-zero terms of the Maclaurin series for #sin(x^2)#?
- Cos²xdy/dx+y=tan x?
- Find a function f(x) such that the point (-1,1) is on the graph of y=f(x), the slope of the tangent line at (-1,1) is 2 and f” (x) = 6x + 4?
- A region in the xy-plane is bounded by the curves y=4x-x^2 and y=2x-3 a. find the points of intersection. b. sketch the region bounded by the curves and label intersections and shade the bounded region. c. find the area of the region.?
- #int e^(-i0.2t)dt#?
- Can someone solve this?
- A particle moves along the x-axis so that at time t its position is given by s(t) = (t + 3)(t −1)^3, t > 0. For what values of t is the velocity of the particle decreasing?
- theorem of l'hospital #lim x rarr +oo ((x^(-4/3))/(sin(1/x)))# ?
- What is the integral of #int sin^3xcos^2x dx# from #0# to #pi/2#?
- Can someone solve this...xyy'=1-x^2?....thanks :)
- How about solution?
- Differentiate sin^4 x with respect to x^3?
- Find a function whose graph has a relative minimum when x = 1 and a relative maximum when x = 4?
- Integrate 1/ (1+2(sin x)^2)?
- Int arcCos sqrtx/a+x?
- #intarc cossqrt(a/(a+x))dx# is?
- If a particle moves along a straight line according to #s(t)=t^4-4t^3+6x^2-20#, how do you find the maximum & minimum velocity on #0<=t<=3#?
- Differenciate sinx to the power 5?
- How do you integrate #\int \frac { 5x - 3} { x ^ { 2} + 5x + 6} dx#?
- How to integrate #1/(1+cosx)# ?
- Determine the position functionif the ac- celeration function is a(t) = 3 sin t+1 , the initial velocity is v(0)=0 and the initial position s(0)=4?
- Derivative of square root of tan 2x?
- Find the length of the curve x=(y^3)÷3+1÷(4y) from y=1 to y=3?
- How to calculate average pressure as volume changes via intergration?
- How to Differentiate y=cos x - 1÷3*cos^3x ?
- Find the Integral of route (1+x^4+2x^2)?
- Question. Compute the arc length of the graph #f(x)=x^(3/2)# over #[0,1]#?
- How do we use the result to find the limit?
- Use comparison test to determine convergence of the following series?
- g(x)=#int_sqrtx^xtan^(-1)tdt# Find? 1) g(#sqrt3#) 2) g'(#sqrt3#) 3) g"(#sqrt3#)
- How do you differentiate #d/dx sqrt(1+sqrt(1+sqrt(1+sqrt(x)))) #?
- What is the derivative of y=√cos√cosx ?
- #f(x)=x^2-7x+4# and #c=2#? a. Evaluate f(c) directly? b. Evaluate f(c) using the Synthetic division and the Remainder Theorem? This a 2 part question and I need the equation with the answer
- For what value of #k# is this system consistent? #3x + 5y + 5z = −2#, #−3x + −1y + 0z = 7# and #−6x + 6y + 10z = k#
- The positive difference between the zeroes of the quadratic expression #x^2 + kx +3# is #sqrt(69)#. What are the possible values of k?
- What is the improper integrals 1/((8x^2)+(1)) from 0 to infinity ?
- What is the improper integrals 1/((8x^2)+(1)) from 0 to infinity ?
- How to calculate the integral?
- How do you prove #intcosAxdx = 1/AsinAx+c# ?
- Evaluate the value of ((x+4)^2-4)/x as x approaches to 0?
- Find the limit, if it exists?
- Integral of cos^5x*sin³xdx ?
- For #f(x)=x-x^3-x^2# what is the equation of the tangent line at #x=12#?
- D/dx log (x-1) ?
- How do you find the exact arc length of a parametric equation ? #x(t)=2 + 9t^2# #y(t)=9 + 6t^3#
- How do you proof the limit of (x+1)/(x-1) is infinity as x approaches 1−?
- Limit of as x approaches 0 ((Sinx)^-1)/x ?
- How do you find an equation of the tangent to the curve at the given point?
- How do you find the exact length of the curve? y = 4 + 2x^(3/2), 0 ≤ x ≤ 1
- Anyone can solve this?
- Anyone knows how to do this? Thank you
- How do you find the antiderivative?
- How do you find definite Integral?
- Integrate? #int((log(1+x))^3)/(2x)dx#
- What is the definite integral of x^2/(x^2+1) from 1 to 0 ?
- How do you Integrate ?
- Find the gradient of the point #f(1,-2,-1)# for #f(x,y,z)=3x^2y-y^3z^2#?
- What is the definite integral of x^2/(x^2+1) from 1 to 0 ? .
- How do you Integrate?
- Evaluate dy/DX=2y²/x³?
- What is #int_0^sqrt(3) (x-(arctanx)^4)/(1+x^2)#?
- What is the definite integral of (x^2-3x)cos2x from 0 to pi ?
- How do you differentiate the equation?
- Find the maxima and minima of function:- #y=2x^3-9x^2-24x+15#?
- (dy/dx)-y=4y^5?
- What is the derivative of #sqrt(1+x)/sqrt(1-x)# ?
- Find the average value of the cost function C(x)=3x√x+10 on the interval [0,81].?
- Find the value of the surface integral (2x^2yi - y^2j + 4xz^2k).dS where is S the surface of the cylinder y^2 + z^2 = 9 bounded by the planes x=0 and x=2?
- What is #\int \frac { 16x - 15y } { 32} - 6 dx#?
- How do you intergrate ((sqrt(x+1)+2)/((x+1)^2-sqrt(x+1))?
- ]Find the derivative of f(x) = x 2+2 cos2 (4x)?
- How do you integrate ∫ sin^4 x dx??
- What is #int e^5x/5#?
- How do you find the antiderivative?
- #int_0^1(x^7-1)/lnxdx# = ?
- Approximating value with linearization?
- What is #intr(lnr)^2dr#?
- How do you Integrate?
- Is #f(x) =sqrt((x+2)(x-4))-3x^2# concave or convex at #x=-1#?
- Integration of (x -1/x)^2 ?
- Find the limit when x approaches ?
- Please help!!! the question is in the picture! i don't understand! ?
- #y=x/(2x-3)# then find #(d^2y)/(dx^2)#?
- Integrate root tan (x) sec^4 dx =?
- Integral 1/(x²+1)³?
- #int_0^pi(xsin^4x)/(sin^4x+cos^4x)dx# = #?#
- What is the derivative of x^2sinx from first principle?
- For what value of a is the line #y=5x# tangent to the curve #y=e^(ax)# at some point in the Oxy-plane?
- Integration of some trignometric functions ?
- Limit(√n-100) ? n->♾
- Find the maxima and minima of function #y=x^3-6x^2+9x-8#?
- A manufacturer wants to make a box with a square base that has a surface area of 300 square inches. The box is to have an open top. What dimensions should the manufacturer use to maximize the volume of the box ?
- 1/secx in derivative?
- How about Answer ?
- Differentiation of y=√(sin³x) ?
- Shouldn't the answer be a ?
- What is the derivative of #cosh^(-1)(sqrt(4x)+1)#?
- How to solve limx→−∞ x⋅e^(−2x)=−∞ step by step?
- Limit 100/√n ? n->♾
- Calculus of ? F=e^x÷4
- Related rates: an aircraft is flying at 460 ft/s with an elevation of 100 ft from ground. how fast...?
- How do you find the integral of #f(x)=x^nsinx^(n-1)# using integration by parts?
- What are the absolute extrema of f(x)=|x-1|-3 on (0,4]?
- 2 ln x^2-ln x?
- How do i find the slope? when x=2
- How to Find the directional derivative of?:
- Determine if the series converges or diverges. If the series converges, find its sum? * Both sums are from 1 to infinity*
- How to Use the rule of the appropriate chain and converting w to function of t before differentiating and then Express the answer in s and t?
- Please help? summation notation
- Want help in part 2?
- Please help?
- The sum of two positive number is 16. Use optimization to find the smallest possible value of the sum of their squares?
- Help please?
- Does #sum_(n=1)^oo (ln n)/(n+2)# converge or diverge?
- What is the derivative for #y=tan(x)+x^(5/2)+2x#?
- #int 1/(1+x^3) dx# is equal to?
- How to find area of these graphs via intergration?
- #intsec(2x)/tan(x)dx=#?
- If #sqrt(1+y)+ysqrt(1+x)=0#, then #dy/dx=#?
- Find the arch length of the curve given by: #x= (1/4)y^3 + (1/3y)# ; #1 le y le #2 ?
- How do we find the radius of convergence?
- Find EXACT area of two equations intergration?
- What is #int (e^(ix)-e^(-ix))/2dx#?
- #int_0^ln3 e^(3x)/(e^(6x)+5)dx#. Help please?
- Derivative of tanx?
- If #y = log_10(x) + log_x(10) + log_x(x) + log_10(10)#, then #dy/dx =#?
- Points of discontinuity?
- What is the Derivative of 4x?
- What is the derivative of #e^x#?
- How to resolve this second partial derivative?: y ∂^3z/(∂u∂v∂w) from z=u(sqrt(v-w))
- If #f(x)# is the antiderivative of #x^2/(1-x^5)#, and #f(1)=0#, then #f(4)#?
- Integrate #intsec^3(x)# by using integral by parts??
- Integrate #x^3*√(16-x^2)# by using Trigonometric Substitutions (only)???
- Integrals of (sec^(2)(x))/(tan(x))?
- What is answer of that integral? I gave a link here is the question ; if you help me i am very grateful thank you very much
- Integral(cosx-secx)?
- How to solve #(d^2y) /dx^2 + a^2y = 0# ?
- What is the integral of this and how to get to the answer? (substitution method)
- F(x)=secx tanx/sinx ?
- Change the order of integration and evaluate?
- Evaluate the integration of : (co3x-x^2)(sin3x-x^3)dx?
- Evaluate: #int dx/(sin^2x+sin^2x*cos^2x+cos^2x)# ?
- How ?? ∫ e^x/4
- How to integrate #int [6x^2+13x+6]/[(x+2)(x+1)^2]dx# by partial fractions?
- Tailor need to design a table cloth in the shape of hypocycloid with the equation r(t)=cos^3 ti + sin^3 tj.they insist to have laces at every edge of the table cloth. Calculate the length of laces that the tailor has to buy?
- The function #f: f(x)=x^3+6x+2# is increasing when #x# belong to .......?
- How to find a maclaurin series for #(cosx)^2#?
- How can you Differentiate (√x^3+ csc) ..?
- If #(dy)/(dx)=sqrt(y^2+1)#, then #(d^2y)/(d^2x)# is what?
- How to Find the first partial derivatives?:
- Calculate the volume of the solid generated by spining the region delimited by the next functions around the x-axis:?
- Setup the limit definition of definite integrals #int_-1^2(1+x^2)dx# ?
- Ap Calculus BC 2009 Question 6?
- How do I find the derivative of k(a)=sin^5acos^4a?
- Ap Calculus BC 2009 Question 5?
- What are the first three terms for the Taylor series for f(x)=lnx expanded about a=1 ?
- Help please? Thanks.
- Find the area of the region.?
- A particle's acceleration along a straight line is given by #a(t)=48t^2+2t+6# . It's initial velocity is equal to -3cm/s and its initial position is 1 cm. Find its position function s(t). Answer is #s(t)=4t^4+1/3t^3+3t^2-3t+1# but I can't it figure out?
- Int1/sinxtanx?
- How do we solve this? I applied the fundamental theorem of calculus and know that f(x) = 1/x and n=b/a, but this is not the correct answer. Can someone please help? Thanks in advance
- Show #|f(b)-f(a)|<= |b-a|# ?
- .There was a proposal for the new size of the advisory boards to be placed at strategic locations along the expressway. The board must contain 50 square meters of print and margins of 4 meters at the top and bottom while 3 meters on each side.?
- How to integrate #int12x[sqrt(x+1)]dx# using integration by parts ?
- Evaluate the integration of :( e^(x+e^x) )dx?
- How to integrate #intx^2e^(-5x)dx# by using integration by parts?
- Solve following integral?
- Solve following integral? #∫sin^-1(2x)dx #
- What is the Integral of y-2ye^x with respect to x?
- #int_0^(pi/2)sin^3x=#?
- What is #int_(0)^(1) 2(pi)x/(cosx)dx #?
- Find thentangent lines to the curve y^2-x+1=0 at the points (2,-1) and (2,1)?
- #int2/(2x^2+2x)dx#?
- Evaluate double integration 0 to 8 and y^1/3 to 2 (e^x^4) dy dx. why do we need to change the variables in evaluating multiple integrals?
- Evaluate #intcos^5x dx# using u-substitution or tabular integration?
- Differentiate y=sin3x then dy/dx =?
- Ap Calculus BC 2002 Form B Question 4?
- Ap Calculus BC 2002 Form B Question 2?
- Can you help me? #lim(x,y)rarr(0,0)(sin(x^2+y^2)/(2x^2+2y^2))#
- 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 # ?
- Average of sin t *cos t how to find ?
- How to find the tangent line to a curve given parametric equations?
- Intergrate 1/√(9-x^2)?
- Write a definite integral that yields the area of the region. (Do not evaluate the integral.)?
- How to find the Maclaurin series and the radius of convergence for #f(x)=1/(1+x)^2#?
- How do I solve this limit?
- Intergrate sinx/√(1-cosx) ?
- Calculate enough derivatives to guess the general formula for #f^((n))(x)#. And proof this by mathematical induction. #f(x) = 1/2-x# and #f(x) = cos(ax)#?
- Evaluate the integral by converting to polar coordinates# \int_{0}^{sqrt3} \int_{y}^{sqrt(4-y^2)} (dxdy)/(4+x^(2)+y^(2))#.?
- Directional derivative problem ? Question is attached
- How do you find the integer part of the following expresion?
- What is derivative of pie divided by 2?
- If integral DX / x(x4+1) DX is equal to ?
- How can slove this ? #int sin(2x)/ "1+cot^2(x)" dx#
- Ap Calculus BC 2002 Form B Question 3?
- What is the Integration of secxtanx /√secx?
- How do you find the integration of : ((1-1/x) cos(x-Inx))dx?
- How do you find the maclaurin series f(x)=e^5x?
- How to you turn a number into an answer with pi in it?
- Evaluate the integration of ;( sin(8Inx) all devided by x)dx?
- Integration of : ((Inx^2)^4) divided by x)dx?
- #int(x^3/(x + 2))# equals ??
- Integration of ; ((1/X(4 + Inx))dx?
- What are the coordinates of the point of intersection of the tangents when the equation of the tangent to the curve #y= x^2 -6x + 5# at the points, #x = 1# and #x = 5# is/are found?
- Nice question in calculas?
- How to integrate cos (x)^1/2 over (x)^1/2 ?
- What is f’(x) F(x)=cos(x)+3x^2+y ?
- What is the integral of #int x^(1/3)/[x^(1/3)+x^(1/4)]# ?
- Antiderivative of ;( (7x-2x^3)e^x^4-7x^2 )dx ?
- Show that # int_(-oo)^(oo) e^(-pix^2) \ dx = 1 #?
- F(x)=sin(cos²x), f'(x)=?
- Find the value of #k# such that #z=k# is a tangent plane to # z=x^2-4xy-2y^2+12x-12y-1 #?
- What is #int (x-1)/(x^2+1)dx#?
- What is the Derivative of y=sin²x² ?
- Show #d/dx (cos^-1 2x)=-2/(1-4x^2)^(1/2).# If #y=sin (cos^-1 2x),#show that #(1-4x^2) (d^2y)/(dx^2)-4x dy/dx+4y=0.# How to do this?
- Evaluate double integral #int int (1-x^2/a^2-y^2/b^2)dx dy # over the first quadrant of the ellipse #x^2/a^2+y^2/b^2 = 1#, by using the transformation #x=au# and #y=bv#?
- Evaluate the Limits?
- What is the area between this two curves ?
- Implicit domain how to prove #dy/dx# = #-(sqrt(1-y^2))/(sqrt(1-x^2)# ?
- How about solution. ( I = ?)
- How about solution ?
- Int(x-1)(x-2)/x+4 dx ?
- Evaluate the integral of : cosecx*cotX all devide by 2-cosecX dx?
- Y= sin (2x^2 - 3e^x) Find dy/dx?
- F(x) = (x cosx + 3 tanx)/ (x² + sinx), For x≠0 f(x) = 4, for x=0 At x=0 is such that? (a) it is continous (b) it has irremovable discontinuity (c) it has removable discontinuity (d) lim f(x) = 3 x->0
- Ap Calculus BC 2002 Form B Question 1?
- Ap Calculus BC 2002 Form B Question 5?
- Ap Calculus BC 2002 Form B Question 6??
- If #lim_(xrarr2)(f(x)-4)/(x-2)=C# for constant C. Find #lim_(xrarr2)#f(x). What theorems were used to come to conclusion?
- Integrate (sin 2pi*t)÷T from 0 to T÷2 ?
- What are the limits?
- What is the antiderivative of #tan(x)#?
- Find the following #int 4 (1/x-e^-x)cos(e^-x +lnx)dx#?
- Int (x+a)power3/√x dx?
- How to derive this equation? Find a.
- What is the derivative of the function #f (x)=ln (ln ((x+4)/ln (x^2+4)# ?
- Integrate #(2x-1)(3x^2-3x+5)^8 #?
- Differentiate #(sqrt(x) + 1 )^2/ x# with respect to #X.#?
- Pls how do i solve this ?lim x-5 (x²-4x+3)
- Integrate xdx/x^2+a^2=?
- A man 1.7m tall walks at the rate of 2 meters per minute towards a street light that is 10m above the ground a.) At what rate is the tip of his shadow moving? b.) At what rate is the length of the shadow changing?
- Please solve the following problem by using newton raphson method?
- Hello! How to solve this non-homogeneous differential equation?
- Need help with this limit equation please? #lim_(θ→0) sin(3θ)tan(4θ)#
- Derivative of y=e^x\lnx ?
- Differentiate y=x^2+5x+3?
- What is the area bounded by the curves y=1/x^2 and y=0 , between x=2 and x=5?
- RMS & Mean Value? Help
- x(y+4)+y' =0 y(0)=-5 ? separation of variable
- (06.01) Find the area of the region bounded by the graphs? of y = x, y = –x + 6, and y = 0. 4.5 9 18 None of these
- Help me ,Integral of the trigonometric functions:? #int_0^(pi/2)sin^4x*cos^2xdx#
- What is the integral of sin^4(2x+3)cos^3(2x+3)?
- Below is the graph of f ′(x), the derivative of f(x), and has x-intercepts at x = −3, x = 1, and x = 2. There are horizontal tangents at x = −1.5 and x = 1.5. Which of the following statements is true?
- How can I use derivatives to find acceleration, given a position-time function?
- #dy/dx = sqrt(x/y)# ?
- Find an equation of the normal line to the parabola y = x^2 − 8x + 9 that is parallel to the line x − 2y = 3?
- Using Euler's method, what is f(1) estimated to be?
- Find the points on the curve y = 2x^3 + 3x^2 − 12x + 9 where the tangent line is horizontal?
- What is the answer of #intcos^3(sqrtx)dx#?
- Solve: #lim_(x→ ∞) sqrt(x)(sqrt(x)-sqrt(x-a))# ?
- Integrate dx/2-x^2 =?
- A volume of a cone is given by #V=(pir^2h)/3#. A particular cone has a height equal to five times the radius of its base: #h=5r#....? (continued below)
- Find the derivative of f(x)=xlogx?
- Evaluate the integral with hyperbolic or trigonometric substitution. ?
- Integrate ln (1/x) dx =?
- Please help! I don't know how to calculate?
- Y=(ax+b) Find dx/dy?
- A manufacturer needs to design a small cardboard box with a square base and no top (open-top box). The volume of the box needs to be exactly 32 cubic centimetres. What dimensions of the box will minimize the amount of cardboard (surface area) needed?
- (i) Show that the value of **k** is 0.1. (ii) Find an expression for the displacement of the particle from the origin in terms of t?
- #intsqrt(x^2+25) dx# ?
- How do you differentiate #(3x+4)^2(4x-1)^3# using the power chain rule?
- How to solve the following ??
- If x is real, find the maximum and minimum values of (x^2-x+1)/(x^2+x+1); also find the corresponding values of x?
- How do you find the integral of #f(x)=5xcos(2x)# using integration by parts?
- Evaluate the integral?
- Integrate (1/dr)?
- Find the point at which the graph y=6x2+4x -4 has a horizontal tangent ?
- Using definite integrals, find the areas bounded by the curve x=#y^2+2y# and the y-axis?
- Expansion of maclaurin series of cos^2x?
- If #y = x^3 * x^(1/2)# and #t = 3 - ln(x)#, then dy/dt = ?
- Find the derivative?
- How do you evaluate the partial derivative of the following sine expression?
- Using definite integrals, find the area bounded by the curve #y=x^3 and y=x^2#?
- #y'=x/y-x/(1-y)# using Separation of Variables?
- Yy'-2xe^x =0 using Separation of Variables?
- How do i evaluate this double integral, the integrand is y^1/2*sin y dydx? x^2 < y < 1 0<x< 1
- DP-6P dt=0 P=5 when t=0 ?
- How do you differentiate 4x.√x ?
- integrat root 25-x^2 dx=?
- How to solve solve integral 1/(x+√(9-x^2)) with lower limit 0 and upper limit 3?
- What is the second derivative of f(x)=ln (x+3)?
- X.COS²X dx ka integration ?
- What is the Taylor series of f(z) = #1+z^2+1/(1+z^2)# ? Please save me! Thank you :)
- What is the limit as x approaches zero from above of (1+x)^cotx?
- Max and min values of f(x)=2x-sinx on xϵ[0,2π]?
- Which appropriate trigonometric substitution is needed to evaluate: #intdx/sqrt(x^6-x^8)# ? Thank you so much in advance! Greetings
- What is the derivative of x(t)=2 sin(2πt+π/2)cm?
- How to solve this integral?
- Dy/dx? Ln(sin^-1(x))
- Evaluate the limit, if it exists. showing clearly the steps lim h→0 (4 + h)3 − 64 h?
- How to solve this question? Given that: # f(x,y,z)= x^3yz^2# Find # (partial ^2f)/(partial x^2)# and #(partial^2f)/(partial y^2)#. Show that #(partial^2f)/(partial x partial y)=(partial ^2f)/(partial y partial x)# ?
- #intint_Asqrt(xy-y^2)dxdyquadquadA={(x,y)inRR^2; 0<=y<=3, x/10<=y<=x}# Would anyone help me?
- Show #y=cos2xe^-x# is a solution to the differential # (d^2y)/(dx^2) + 2dy/dx+5y = 0 #?
- How do you find #(f(x+Δx)-f(x))/(Δx)# if #f(x) = 8x^2+1#?
- Find q/p, if it is known that the tangent line to the graph of the function f(x) = x^3+3px+q at point x=-2 is defined by the equation y = px+2q ?
- Estimate (using right endpoints) the given integral?
- Evaluate the definite integral.?
- If #y=x + sqrt(a^2 + x^2)# where #a# is a constant, prove that #(a^2 + x^2)(d^2y)/(dx^2) + xdy/dx - y = 0#?
- Using logarithmic differentiation or otherwise, differentiate x^(x^2)?
- If x is very small such that the terms in #x^4# and higher can be neglected, how to find sin2xln(1+x) in first three terms by using maclaurin series?
- If #y=x + sqrt(a^2 + x^2)# where a is a constant, prove that #(a^2 + x^2)(d^2y)/(dx^2) + xdy/dx - y = 0#?
- How to find the volume of the region bounded by the curves #z1=x^2+y^2 and z2=1−x^2−y^2# ?
- Evaluate the integral. ?
- How to answer this question?
- How can I solve the following limit?, I'm trying to solve with Riemann Integral, but I can't get it.
- Calculus help needed? Thanks :)
- Find the solution of the differential equation dy/dx = y^2/x^4 that satisfies the initial condition y(1) = 1?
- Find a,b, c and d in this function when given the inflection point and a local minimum point?
- D/dx[∫sin(t²)dt from x² to 0]=-sin(x²).This statement is true or false?Please give reasons for your answers.
- How to evaluate this limit?
- Integral of the trigonometric functions:? B-) #int_0^pisin^2x*cos^4xdx#
- For what values of x is # f(x) = -sqrt(x^3-9x^2 # concave or convex?
- What is the derivative of f(x)= x^3-1/x-1??
- How to find h in terms of x?
- How to investigate the following function and plot its graph using the methods of differential calculus: y=e^[1/2(x+1)] / x+1 ?
- How do you find all the relative max, relative min, and inflection points for #f(x) = 7x^3-14x^2-28x-10#?
- How do you integrate #int cos(3t)cos(4t)dt#?
- How to compute partial derivatives?
- Find the derivative of the implicit function: #y^2 - 2xy +sin (x+y) = cos a#?
- Find the equation of the tangent to the curve y= 2-√x perpendicular to the straight line y+4x-4=0 ?
- If # f''(t)=2+2t # and #f(0)=2# and #f(3)=2# then find #f(t)#?
- How to integrate 1/x^2sqrtx^2+25 dx ?
- Find derivatives of the given functions : x= ln (1+t^2) y= t- arctgt ?
- The region bounded by the curve y=ln(x)/x and the lines x=1, x=e, y=0 is rotated around x=2π. Find the volume of the solid generated. How would I go about solving this? Doesn’t the integral need to be in terms of y, but ln(x)/x does not have a inverse.
- Q-Solve:- e^dy/dx=x?
- Please help!!! this is a multiple choice. determine the minimum value of the function f(x)=e^(-x)-2e^x on the interval -1≤x≤2.?
- Find the area of the region bounded by the y-axis, the line y=e, and the graph of the function y=e^3x?
- Help me to proof this L'Hospital's Rule II for case (b) please? I am waiting for your help. Thank you very much for your help before.
- How do you solve this optimization question?
- How do you find the volume of the solid generated by revolving the bounded region by the graphs of #y=-x+2#, #y=0#, #x=0# about the y-axis?
- How do you solve this optimization question?
- How do you find the Maclaurin series for below function?
- The displacement s, measured in meters for a body moving from a fixed point, P, at a time of t seconds is given by #s(t) = 10-5te^-(t/10)#. Determine the expression for the velocity v(t)?
- ) Determine a function N(x,y) so that the following DE is exact? [y^1/2.x^-1/2+x/(x^2+y)]dx = −N(x, y)dy
- Find the slopes of the tangent lines to the curve #y^2 −x +1 = 0# at the points (2,−1) and (2,1)?
- What is the derivative of the function #sqrt(3+2f(x)# ?
- Integrate (exp(2x)+cos(3x))^2dx ?
- Use intergral to find the Area of a circle of redius1centered at(0,2)?
- How do I solve this limit ?
- Lim x->oo {x-(x^2)*ln((1+x)/x)} please explain all of phase...? thanks.
- How to determine the slope of any point x for the function 5÷(2+x)?
- What must (a) be if the perimeter of the figure should be as small as possible?
- What is #lim x → ∞ cos(1/x)/(1+1/x)# ?
- How do I use logarithmic differentiation to determine the derivative for #f(x)=((x^5)((x-7)^5))/(x^2+2)^8#?
- What is the total area of the shaded regions bounded by the curves y = sin x and y = cos x?
- Determine if the following function is continuous at 𝑥 = 2. 𝑓(𝑥) = { 2𝑥 −3, 𝑥 ≤ 2 𝑥2, 𝑥 > 2?
- How do you find the general solution to dy/dx = -2y , y=3 when x=0?
- What is the evaluated integral of #int_5^8 1/(xsqrt(x^2-4))# ?
- Find all the critical points of the function 𝑓(𝑥) = 𝑥3 +6𝑥2 − 15𝑥 +7 and classify each of them as either local maximum(s) or local minimum(s)?
- How do you find the indefinite integral of ∫e^3√x dx?
- How to take a limit of (x^2 +3*x + 2)/(x^4+4*x+3), lim->-1?
- D/dx sin(4x+2)??
- The population of a town a town after t weeks is given by p(t)=1200(2^-t). a) what is the initial population of the town? b) how many people are there after 1 week? c) what is the rate of change of people after 1 week?
- Help Please! A radioactive substance decaying so that after t years, the amount remaining, expressed as a percent of the original amount is a(t) = 100(1.1)^-t. determine the function, a', which represents the rate of decay of the substance.?
- If the function f(x)=x^3 + e^(x/2) And g(x)= f^(-1)(x) ,then the value of g'(1) is ?
- X^2×(sin1/x)+x^2÷1+x^3 , limit x tending to -infinity?
- Lim x- ∞ x+x^2/1-2x^2 ?
- Find the derivative of h(x) =logbase8(2/x^3)?
- Integral of [x+3÷(5-x²-4x)½]dx?
- How to investigate the following function and plot its graphs using the methods of differential calculus? y=3x-2 / x^2
- What is the integral of x(modx)? Here mod is modulus of x.
- How do you find the limit of x^(x^2) as x approaches 0?
- How do I find an expression for f(x), with the properties, f'(x)=sin(x)/x and f(1)=1?
- Show that the derivative of y=(sin2x)(x+1)^4 is y'=2(x+1)^3(2 sin 2x + xcos 2x + cos 2x)?
- How answer this question using the second fundamental theorem of calculus?
- How to differentiate y = cos ^-2 ( x )?
- Find integral of the following?
- How to integrate ((e^x)-e^(-x)) between 1 and 0?
- What is #int(sinx)/(cos^2 x) dx#?
- Find the integral of following?
- How to integrate #int(x^3 dx)/sqrt( x^2 + 4)# by using substitution?
- How do you integrate sec^4xtanx?
- Integral of [x+3/√9-x²] dx?
- How to differentiate y= sin (#-5x^2-8x+2#) ?
- How to find out the derivative of (ln2)^x ?
- How do you find #intx^2 e^(1-x)dx# using integration by parts?
- Integral of [x+3/9-x²]dx?
- What is #int t^(9/2)+8t^(1/2)-8t^(-1/2)dt#?
- Defferentiate f(x) = x-1/x+1 ? Thank you
- Determines the volume that originates the surface bounded by the parabola and the line when turning around the axis Y?
- How to draw the derivative on the graph?
- #y=sin^2(lnx^2)# What is #dy/dx# ?
- How to calculate the area of both squares?
- Is the series #\sum_(n=0)^\infty n^n/(4^n n!)# absolutely convergent, conditionally convergent or divergent?
- What is #int1/(xln^3x)dx# ?
- How can i make this integration ? #x^2 / (x^2+x+2)#
- Integrate ? Sin 2x dx
- How do I integrate by substitution?
- How do you solve the following questions?
- Help please?
- How do I find the derivative of #f(x) = sqrt(x+3)# using first principles?
- What are the range of initial values using the Newton-Raphson method for #(x-9)/(x^2+1)=0# for it to converge to 9?
- How to solve that Limit without graphing ? #limx->0^+# #1/x# = #oo# #limx->0^-# #1/x# #-oo#
- Variable accerleration?
- How can I find the derivative of #y=(x^2+1)^5#?
- Need help with this limit equation please? #lim_(x→0^+)# #x^4 ln(x)#
- How to integrate #sqrt(x^2 - 3x^4)#?
- Find the Maclaurin series for F(x)= ∫(e^t -1)/t dt (lower bound=0, upper bound=x) ?
- The point on the parabola y=(x-3)^2 that is near to the origin?
- #lim_(xtooo)x^3sin(1/2)#?
- Lim x→3 [8x/ (x−3)^2 ] Why does the result is infinity positive?
- How do you find the first three terms of a Maclaurin series for f(t) = (e^t - 1)/t using the Maclaurin series of e^x?
- Integration of cos(logx)dx?
- Test the series for convergence or divergence. In each case give reasons for your decision?
- Find a General formula for f^(n) (x)?
- Absolute maximum and absolute minimum values of f on the given interval?
- #y=x^3/e^x# what is y"?
- What are the values for h and k such that f(x) is both continuous and smooth at x=0?
- Evaluet the integral?
- Find the slopes of the tangents to the curves of intersections of planes x=0,y=2 and the surface #z=x^3+e^(yx)# at point (0,2,1)?
- Limit x tends to infinity ((x+1)(x+2)(x+3))^1/3-x=?
- How do you evaluate #int cot^5(2x) dx#?
- Int of logx?
- Prove that the function f(x)=tanh^-1(x) is an odd function ?
- Find d^2y/dx^2 for 5x^2-4y^2=20?
- Find #f# ?
- Are there any method apart from integration by parts , u substituting, trig substitution or partial decomposition for difficult integrals?
- Find Dy/dx Help i have no idea how to use the chain rule here? y=ln(tan^-1(ex))
- Find derivative of sin(x+1) ?
- How do you evaluate #int tan^5(theta/2) d(theta)#?
- How do you solve #intx^2/(sqrt(x^2-9))dx# using trig substitution?
- In the following exercises Write the series using summation notation ?
- Estimate the value of the integral from negative 1 to 3 of x squared, dx by using the Trapezoidal Rule with n = 4?
- If the function #f# is defined by #f(x)=int_0^x-sint^2dt# on the closed interval #-1<=x<=3#, then #f# has a local maximum at x=?
- If #y=3x+6#, what is the minimum value of #x^3y#?
- What are the relative extreme values of the function?
- Evaluate #int ( 8(e^x -1))/(7x) dx# as a power series.?
- Evaluate the indefinite integral as a power series?
- Can someone please help me with Lim excercise and explain it as well? Really appreciate!
- Hi, can i ask what is the differentiate of #(e^x + e^-x) / (e^x - e^-x)#? Please Thanks much
- Differentiate the function #f(x)= x/(x+1)# from first principle?
- Determine whether or not the sequence with the given nth term is monotonic, then discuss its boundedness (i) an=cosn/n ?
- If f(x)=3x^1/3 -4x+1, find the maximum and minimum of f on [-1,8]?
- How to integrate #intx/(cos^2 (x^2))dx# ?
- Integrate (ln 2x)^2/x^2 dx?
- How to differentiate y= (sec x + tan x)(sec x - tan x) ?
- How to integrate the following? 1/{sin^2 (x) cos^2 (x)}
- How do you evaluate #int e^(6x)sin(e^(2x))dx# using substitution and and tabular integration?
- Use a known MacLaurin series to find the MacLaurin series of f(x)=sin(x^4) ?
- How to do integrate #int(5x^3-x^2)/(x^2-1)dx# ?
- A particle of mass m in a harmonic oscillator potential #V(x)=(momega_0^2)/(2)x^2# has an initial #psi(x,0)=1/(sqrt2)[phi_0(x) + iphi_1(x)] # where #phi_n# are the normalized eigenstates for harmonic oscillator?
- How can i derived ((1+x)^4/(x^2-2)^3)^2 in chain rule, quotient rule and product rule please? Thank you so much
- How do you solve #intxsqrt(x^2+8)*dx# using trig substitution?
- How do you use separation of variables method to find the solution of the following differential equation?
- Y=e^x.sin^-1.x (diff. With respect to x)?
- This sequence converge or diverge 2/5,1/2,6/11,4/7,.....?
- How do i find the convergence or divergence of this series? #sum# from 1 to infinity of #1/n^lnn#
- How do i find the points in the domain -2 π ≤ x ≤ 2 π , on the curve y = 5 sin x such that the slope of the tangent line is 5?
- Calculate the air of the area bounded by the curve #y=-sqrt(x+16)+2#, the axis of #x#, the axix of #y# the and the line #x=15#. ?
- Let #f:[a,b]->RR, f# integrate and converges at #x_0# #F:[a,b]->RR,##F(x)=int_a^xf(t)dt# how do you show #F# differentiable at #x_0# ?
- What is a solution to the differential equation dy/dx= y^2? (Please)
- What is a solution to the differential equation dy/dx= x^2+1? (Please
- What is a solution tô the differential equation dy/dx= yx? (Please)
- What' the integral of ln √x dx ? (With the substitution)
- What is the derivative of sin x / cos ^2 x - 1 ?
- How do you calculate this limit without using l’Hospital’s rule: lim [ (x+2 / x-3) - ( x^2 -7x / x^2 -2x -3) ] as x → 3 ?
- How do you calculate this limit without using l’Hospital’s rule: lim 1-sinx / (π/2 - x)^2 as x → π/2 ?
- Evaluating Limits. Does the limit of #x ->-5# exist in the function #(x^3)/(x+5)^2#?
- Prove that the straight line is tangent to the circle?
- How to solve the limit of #int_0^x t^2e^{-t}dt# when # x -> #infinite?
- What is the derivatie of ln (x) / (1 - ln(x))?
- Sum from n=1 to infinity that [(n!x^n)/[1*3*5...(2*n-1)]]. Find the radius of convergence and interval of convergence?
- Find the second Taylor's expansion of the function f(x,y)=xy^2+cos xy about the point (1,π/2)?
- Determine the equation of the tangent line to F(x) = (2 - x^2)/(1+x) at (0,2). write your answer in the form Y=mx+b?
- What's the particular solution that satisfies #y(0)=0# of #dy/dx=(-2x+y)^2-7# ?
- How can integrate this? #int_-∞ ^∞(e ^(-4t) ) dt#
- Finding exact area of region by intergration?
- How do you calculate this limit without using l’Hospital’s rule: lim √(x^2 +1) -1 / √(x^2+16) - 4 as x → 0 ?
- Calculate the approximate value of #int_0^6x^3 dx# by taking 6 subintervals of equal length and applying Simpson's rule?
- X (du/dx)=-2cot (u) , y=ux Find the solution of the differential equation satisfying the condition y=0 when x=1. Write the answer in the form y=f (x)?
- What is the limit of #7/(4(x-1)^2)# as x approaches 1?
- If H= tan^-1(x/y) x=u+v and y=u-v then dH/dv ?
- Find the coordinates of the points of intersection of the two curves. (y=x^2-1 & y=6/x^2)?
- Find the volume of the solid obtained by revolving the curve x=acos^(3)θ,y=asin^(3)θ about the y-axis?
- What is the integral of this function?
- How do you calculate this limit without using l’Hospital’s rule: lim [ (x+2 / x-3) - ( x^2 -7x / x^2 -2x -3) ] as x → 3 ?
- Integrate cos^4x?
- Help please, get the limited area between the following curves?
- Limit problem ?
- What is the second order derivative of #y = 1 / (1-x^2)#?
- 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)?
- Find L please helpp ??
- Calc 2 question please, please help me!?
- Given a graph of an object's acceleration vs time. When t=0 the position and velocity of the object are both zero. The graph crosses the time axis at 3 and 5. At t=3 would the object be moving forward, backward or is it still?
- How do I integrate cos^-1 (x/2) dx??
- A) Determine the equation of the tangent line to F(x) = (2 - x^2)/(1+x) at (0,2). write your answer in the form Y=mx+b? b) determine the equation of the normal to f(x) at (0,2)?
- Please help! the question is in the picture. how i do it?
- How we integrate this, ?
- Find the area that is formed by the functions: x=4, y=-1, y=-2 and y=-x?
- Find the volume of the solid obtained by rotating the region bounded by the curves y=x^2/3 ,x=1, y=0 about y-axis?
- How do I know if a discontinuity in a function is removable or not?
- What is the limit of #7/4(x-1)^2# as x approaches 1?
- Find the particular solution of the differential equation that satisfies the initial equations?
- Find the area of the given region. Use a graphing utility to verify your result?
- How does extremas and points of inflection change, if the function changes from #y=f(x)# to #y=Af(x)#, where #A>0# is a constant?
- For which value(s) of k,is the function f,defined as below,continuous at x=2?f(x)={3-kx,1≤x<2 and x²/4-3, x≥2.Further,at which other points in [1,infinity[ is f continuous,and why?
- For which #x in RR# does the series P(x) converge and for which does it diverge? #P(x) = sum 1/n * x^(n+2)# And how do i show that the relation #P'(x) - 2*((P(x))/x) = x^2/(1-x)# is valid for the inner side of the convergence intervall?
- What is the solution to the differential equation dy/dx= x-y^2 ?
- Value of this integral and how to solve it?
- A nursery determines the demand in May for potted plants is p=3-(x/1000). the cost of growing x plants is c(x)= 0.02x +4000, 0<x<6000. determine the marginal profit function.?
- D/dx cos^-1 x^2=?
- The differential equation (((dy/dx)+(y^2/x^2))=(y/x)) has the solution?
- How do you find the indefinite integral of ∫ ( x^2 - 9x + 14 )dx / (x^2-4x+3) (x-4) ?
- How do you find the indefinite integral of ∫ dx / √(x+1) + √(x+1)^3 ?
- How do you calculate this limit without using l’Hospital’s rule: lim (3x^5 + 4x^4 - 3x -2) / (7x^3 - 2x + 5) as x → ∞ ?
- By the Rational Root Test, how many possible rational roots does #f(x)=4x^3-x^2+10x-6# have?
- Given that #int_0^k(x+2)dx = 6# , where #k>0#, find the value of #k#.?
- How to determine whether the infinite series converges?
- How to do this question?
- A) what are two methods for determining the derivative of f(x) = (x^2 +2 -1)(x^3 +8). b) compare the two methods for this particular function?
- How do you find the indefinite integral of ∫ x^2 - 2 dx / x^3 - 4x ?
- Hi, can i ask what is the differentiate of (1+x^3/2x^2)? Please Thanks thanks for answering my first question :)
- How do I find the volume of the solid obtained by rotating about the x-axis the region enclosed by the curves?
- How do you find the indefinite integral of ∫ (7x-1) dx / √( 3x^2 - 6x + 4 ) ?
- How do you integrate ln x / (1+x^2) ?
- Im super confused as to how to approach this question?
- Need help with Lagrange multiplier question?
- How do you evaluate the Riemann sum for f(x), 1≤x≤7 with three equal sub-intervals and taking the sample points to be the left endpoints when given a table?
- How do I solve this problem?
- How to integrate (sinx)(cosx)(e^cosx)dx ?
- How do I solve this equation?
- How to find the values for x for which the function #y=sqrt(tan(x))# is not differentiable?
- How to integrate this?
- Int(tan√x/√x)?
- How do I find the area between y=x^3 and it’s tangent at x=1 ?
- How to find the length of the curve?
- How do you calculate this limit without using l’Hospital’s rule: lim e^2x -1 / 3x as x → 0 ?
- Trace the curve x[y^(2)+4]=8 stating all the points used for doing so?
- What is the derivative of #6 (3^(2x-1))#?
- How do you find the indefinite integral of ∫ dx/ (√5-x^2) ^3 ?
- How do you calculate this limit without using l’Hospital’s rule: lim √(x^2 +1) -1 / √(x^2+16) - 4 as x → 0 ?
- How do you find #\lim _ { x \rightarrow \infty } \frac { x ^ { 2} + x + 1} { ( 3x + 2) ^ { 2} }#?
- If #y^2=2xy+2x# prove that #(x-y)(d^2y)/dx^2+2dy/dx-(dy/dx)^2=0# ?
- Find dy/dx if?
- How do you find the indefinite integral of ∫ (x - sinx ) dx / x^2 + 2 cosx ?
- How do you find the indefinite integral of ∫ dx / sin^3 x cos^5 x ?
- How to find integration??
- Find the general solution of the differential equation? y dy/dx-2e^x=0
- Find the general solution of the differential equation? y dy/dx=6cos x
- What is the derivative of ln(1+x)?
- What is the partial derivatives of this function?
- How do you differentiate #f(x)=3x(2x+1)^3 # using the product rule?
- How to Draw the plane curve and find its length in the given interval?
- Let y = [f(x)]3 and suppose that f′ (1) = 4 and y′ = 10 for x = 1. Find f(1)?
- Check whether the function #f:RR^2->RR# defined by #f(x,y)=2x^4-3x^2y+y^2# has an extrema at #(0,0)#?
- A closed rectangular storage bin is to be made so that it has a square base. The volume of the bin must be 8m^3. The material to make the sides costs twice as much as that for the top and the bottom. Find the dimensions of the box that will (- cont.)?
- How do you find the indefinite integral of ∫ x/ cos^2 x dx ?
- How do you find the indefinite integral of ∫ e^√x * arctge^√x dx / 2√x ?
- How to find the curvature K of the curve?
- If #x=at^2# and #y=2at#, what is #(d^2y)/(dx^2)# at #t=1/2#?
- Given h(x) = f (g(x)). If g(2) = −3, g′ (2) = 4 and f′ (−3) = 7, find h′ (2).?
- Evaluate evaluate f(x)=e^8x^2 +4?
- How do you find the indefinite integral of ∫cos^2 xdx / sin^4 x ?
- What is the derivative of (x-1)^2 (x+2)?
- Evaluate the integral: ∫xln|x+1|dx. ?
- If # (1+x^2)y_(n+1)+(2nx-m)y_n+n(n-1)y_(n-1)=0 #?
- Solve the following differential equations: (i)#(2x+y+3)dy/dx=x+2y+1# and (ii)#[x^(2)+1]dy/dx+2xy=4x^(2)#.?
- A) Determine the equation of the tangent line to F(x) = (2 - x^2)/(1+x) at (0,2). write your answer in the form Y=mx+b? b) determine the equation of the normal to f(x) at (0,2)?
- Solve #y+3y'+2y=(t^2+1)e^-t#?
- What is the limit? #lim_(xrarr2) (cos(pi/x))/(x-2)#
- Find an equation of the tangent line to the graph of the equation #tan^-1 (x+y) = x^2 + pi/4#?
- How do you integrate? #int_sqrt(2)^2dx/(x^5*sqrt(x^2-1))#
- What is the slope of the tangent to #y=sqrt(1-x)# at #(-8, 3)#?
- What is #int_(0)^(ln5) x^2e^-xdx #?
- #int(e^(2x)+1)/(e^x-1)dx#=?
- How many hours should each plant be operated to produce at least three units of item A, five unit of item B and sex unit of item C at a minimum total cost of operation ?
- Test the convergence of the following series?
- The average value of a function v(x)=2/x^2 on the interval [1,c] is equal to 1. How to find the value of c?
- How do you find the limit of (√x2−x)−(√x2−x) as x approaches infinity?
- Find the length of the curve y=ln[(e^x-1)/(e^x+1)] from x=1 to x=2?
- #int(1+cos(2x))/(sin(2x))dx=?
- Find the length of the curve #y=ln(e^(x)-1/e^(x)+1)# from #x=1# to #x=2#?
- #intx(x+1)^3dx#=?
- What is integral of?
- Integral of #int(x-1)/(x+1)^3# dx=?
- Integral of #int(x-1)/(x+3)^3 dx# ?
- How to integrate question of types: #int (asinx+bcosx)/(csinx+dcosx) dx# where a,b,c, d are coefficients by several methods?
- #int x^2 / (x^2 + 4) dx# integrate?
- How to differentiate 2(square root y) = x - y using implicit differentiation?
- How we can evaluate this : ∑2ⁿ from k=1 to n , as n→-∞ ?
- How to differentiate y= (ln x)/(1+ln x) ?
- Find limits on x^2-(1/(x^a-1))?
- How to integrate #inte^xsinxcosxdx#?
- Calc 2 Problem. Could someone help me understand the "u" notation in this integral?
- Consider the function 1-7x^2 on the interval [-2, 7]. How do I find the average slope on this interval? Find the one point in which f'(c) is equal to the mean slope.
- What is the first derivative of a complex surge function?
- #int(2/(sqrt(16-4x^2)# dx=?
- If #f(x)=(x+3)(x-1)^2#, how do you find the local maxima and minima at #x# using the second derivative?
- Consider the function f(x)=x^3-3x^2+2x-3 on the interval [0,2]. By Rolle's theorem, there exists a c such that f'(c)=0. Find the values of c that satisfy the conclusion of Rolle's theorem. c1=? and c2=? with c1<c2.
- How do I find the length of y=1/2 (e^x + e^-x) from the x=0 and x=b ?
- How do I find the critical points of the function f(x)=2x^3+6x?
- Use the Intermediate Value Theorem to show that cosx=x have at least a solution in [0,π]?
- If #y=cos(sin(x))#, show that #(d^2y)/(dx^2)+tan(x) dy/dx+y cos^2(x)=0#?
- How do you integrate fractions?
- How to show that dy/dt = x(1-x)dy/dx, if y is a function of x and x=e^t/e^t+1?
- #int((2)/(sqrt(4-36x^2))# dx ?
- How can I prove that this sequence is monotonic?
- Solve #y'+ty=t^3y^3#?
- #lim_(t->-oo) sqrt(t^2+2t+7 ) -sqrt(t^2-2t+5)#=?
- Solve #y'''+3y''+4y'+2y=sin(2t)#?
- If y=root1-x/1+x.then prove that (1-X)^2dy/dx+y=0?
- Solve #ty'=y(1+lny-lnt)# ?
- The integration of ?#int((x^2-1)/(x^3-3x))# dx
- What is the antiderivative of (t - 2)dt from x to 3x?
- How do you integrate? #intsqrt(3x^2-3x+1)dx#
- A particle moves along the x axis. The velocity of the particle at t is 6t-t^2 . what is the distance travelled by the object between t=0 and t=3?
- Determine the maximum height a baseball reaches as it is hit if its height can be represented by a function s(t)= -5t^2 +55t +2?
- Find the area in terms of c, of the cross-section generated by the intersection between the ellipsoid #x^2+y^2/4+z^2/9=1# and the plane z=c. ?
- Water is flowing at the rate of 2 cubic meters per minute into a tank in the form of an inverted cone having an altitude of 16 meters and a radius of 4 meters. How fast is the water level rising when the water is 5 meters deep?
- How do you calculate this limit without using l’Hospital’s rule: lim (x^2 + 5x - 4 / x+7 ) as x → 7 ?
- How do you find the indefinite integral of ∫sin 4xe^sin2x dx?
- How do I find the asymptotes (HA and VA) of f(x)=ln(1+x^3) using limits of infinity?
- Solve L(sin4t) ?
- How do you differentiate this equation?
- Show that ∫dx from 0 to 1 ∫(x^2-y^2)/(x^2+y^2)dy from 0 to 1=∫dy from 0 to 1 ∫(x^2-y^2)/(x^2+y^2)dx from 0 to 1?
- The region R is bounded by the graph of f(x)=2x(2-x) and the x-axis. Which is greater, the volume of the solid generated when R is revolved about the line y=2 or the volume of the solid generated when R is revolved about the line y=0?
- Let x be the size of a certain population of predators and y the size of the population of prey upon which they feed.As function of time t,x=t²+4 and y=2t²-3t.Let u be the number of prey to each predator.Find the rate of change of u Calculus ?
- How to evaluate : #int (1+sinx)/[cosx (1+cosx)]# ?
- Determine the intervals where the graph of function is concave up and concave down and identify the inflection point when f(x)=tan^-1x?
- How to determine the convergence or divergence of series? q1. sigma(n=1, infinity) #(-1)^(n+1)/n# q2. sigma(n=2, infinity) #(-1)^n/ln(n)# q3. sigma(n=0, infinity) #(-1)^n/(n!)# q4. sigma(n=1, infinity) #(-1)^n/sqrt(n)#
- How to determine convergence or divergence of series sigma(n=2, infinity ) #1/[sqrt(n)-1]# ?
- How do you find the volume of the solid formed by revolving the region bounded by the graphs of the equations #y=2x#, #y=4#, #x=0# using the shell method?
- Determine whether the power series converges?
- What is #int 1/(cos(5x-1)) dx#?
- Please list out the steps to the problem?
- How to determine convergence or divergence of sequence an=#ln(n^2)/n# ?
- How do you find the region inside both carteroids #r=3+costheta# and r=3?
- Determine f'(a) for f(x)= (1-x)/x^2 when a = -1?
- Does #a_n = [n(n+1)]/(n+sqrt(n))# converge?
- What is the integral of #(x^3+x^2-5x+15)/((x^2+5)(x^2+2x+3))dx#?
- Help me this problem of integral trigonometric for substitution please,find the volume of solid for rotation of region delimited for curves y=senx,y=0 and #pi/2<=x<=pi# about x axis ?
- Multivariable calculus question?
- What is the derivative of the function? f(x)=7e^-1/x^2
- Differentiate sin^-1 (x/2)?
- Why area=#int_1^2 int_3^4 1/v dudv# is wrong?
- Integrate. What is the next step ?
- The integral of(4x^3 -12x)(x^4 -6x^2)^3 dx?
- Is #sum_"n=1"^infty 3^(1 - n) * 5^(n/2)# convergent or divergent? if it's convergent, find its sum.
- #int(3x^-7+x^-1)dx#. Evaluate?
- Evaluate the following indefienite integral ?
- Differentiate sin^2 x with respect to cos^4 x?
- #int_0^pilog(sin^2 x) dx=0#?
- Please solve int(3x^5-2/x^3)dx?
- Integrate e^xcosx dx by parts?
- Proove that: #int _a^b f (x)dx= int_a^b f (a+b-x)dx# ?
- How do you find the #n#th derivative of #1/(x^2-9)#?
- How you find the limit of (1/x-1/|x|) where the x approaches 0?
- A spherical balloon has a radius of 6 inches. Use differentials to estimate the change in volume if the radius increases by .03 inches. Please list all steps!!!!!!?
- Let f(x) be a polynomial function such that f(-5)=1, f'(-5)=0, and f''(-5)= -2. the point (-5,1) is a ________ of the graph of f. what is the Blank?
- Please solve int(3/x-cosx)dx?
- How do you find a definite integral that represents the arc length of the curve over the indicated interval #y=x^2+x+4# for #0lexle2# ?
- Find the limit lim x→0^+ (1+x^2)^1/x?
- Use the polynomial to approximate f(-1) correct to 5 decimal places ?
- The length of a side of a cube is increasing at a rate of 4 inches per second. At what rate is the surface area increasing when the volume of the cube is 216 square inches ?
- Determine where f is continuous when f(x)=(lnx)^2?
- Find the ratio of students who attended less than (H)/(2) hours of lectures ?
- If #x^2+y^2=100# and #(dy)/(dt)=4#, what is #(dx)/(dt)# when #y=6#?
- find the value(s) of p for which the function ?
- Solve the intergral ?
- How you solve this? #x^2y'+x^2y^2-3xy+3=0# with solution #y_1=3/x#
- The position of an object any this given by s(t)=2t^2 -8t+10 a. Determine the velocity of the object? b. Is the object moving to the right or left at t=1? c.is the object right or left at t=4?
- Some one can help me to solve this question? find the slope of curve at a point by using #(f(x+h)-f(h))/h#
- Integral:#int(12x^3)/sqrt(2x^2+7)dx# ?
- E^x+ydx + e^2y-xdy = 0?
- How do you find the area of the surface generated by revolving the curve #y=x^3/3# on the interval [0,3], about the x-axis?
- How to find the coordinates of each point on the curve where the tangent line is vertical?
- Determine the convergence or divergence of the sequence an=(3n^2-n+4)/(2n^2+1) and if the sequence converges, find its limit?
- How do you proof lim x → ∞ (n^(x+1)) / ((x+1)!) = 0 ?
- If n is any positive integer, prove that integral : #int_0^pisen^2(nx)dx=pi/2# ?
- How do i integrate x^4/(x^2+1)^3 ?
- If the first derivative has a cusp at x=3, is there a point of inflection at x=3 even though the second derivative doesn't exist there?
- Why derivative of d(2at)/dt is 2a?
- What is the derivative of #xe^(y^x)#?
- What is #lim_(ntooo)sqrt(n^2+n^a)−n# , while a is real number?
- How to integrate #int (secx)dx# and #int (cscx)dx# ?
- If x=a cos^3x and y=b sin^3x.find dy/dx?
- Find the volume of solid generated from revolving a region bounded by #y=sinx# and #y=0# between #x=pi/2# and #x=pi# around the #x#-axis.?
- Please correct the problem as below: If y= 1/2 sec^2x prove that (d^2y/dx^2)=4y(3y-1) ?
- What is the equation of the tangent line of #f(x)=x^3-2x-3# at #x=-1#?
- Find the limit of the sequence an=2^n/(2n-1)?
- F(x)= {(ax-1)^3 if x>2 F(x)= {(ax-1)^3 if x=2 F(x)={(ax^2-1 if x<2 determine the real values of a ?
- My friend gave me a nasty integral: #int sqrt{1 + (-sin(0.7x^{1.18})0.826x^{0.18})} dx#. Can anybody give me some advice on how to solve this?
- If #F(x)=int_1^(x^2)sqrt(t^2+3)dt#, then #F'(2)=#?
- Sketch the region bounded by the graphs of the algebraic functions and find the area of the region f (y) = 1 - y^2 and g (y) = y - 1 ?
- How I can to continue this limit #\lim_{xto0^+}\frac{1}{x}-\frac{1}{x^2}#??
- Integrate?
- Find the maximum and the minimum values of #f(x)=3x^4-8x^3+6x^2# on #[-1/2,1/2]# by finding the points where the derivative is 0 and compering with the values at the end point?
- How do you find the integral of #f(x)=1/(1-sinx)# using integration by parts?
- Find 5th-orden Maclaurin polynomial P_5(x) for f ?
- Integrate (xdx)/(sqrt(x^2-1)) ?
- An apartment complex has 250 apartments to rent, if they rent x apartments then their monthly profit in roller is given by p(x)=-8x^2 + 3200x - 80000 How many apartments should they rent in order to maximize their profit?
- I know this is a converges but i'm having trouble finding the sum?
- The graph of the function f(x)=x^2 - 2x. draw the line tangent to the point (0,0). then estimate the slope at the point?
- How do you find the maclaurin series expansion of #x^2sin(x)#?
- Can you solve the derivative of this expopnential equation?
- For f(x)=x/x^2+1,s show that the slope m of the tangent line to y= f(x) satisfies -1/8≤m≤1?
- Find the limit?
- Determine the forth derivative of this function f(x)=x^4+3x^2-2/√x?
- What is the lim x → 0 (x^4-3x^2+2)/(x^3-5x^2+3x+1) ??
- If #f(x)=(4x^2-7x-2)/(x-2),x!=2#,find #aδ>0# such that #|f(x)-9|<1/100# for #0<|x-2|<δ#. Hence show that #lim_(xto2)f(x)=9#?
- What is the derivative of ln(x^3 • sin x ^2)?
- What is #int_(-ipi)^(ipi) xe^xdx #?
- How do I find the sum of a Taylor series #sum_(n=0)^oo((-1)^n(x-2)^n)/(2^(n+1))#?
- Integratral of (1/√x)dx is?
- Integrate by parts ? x^3 ln x dx
- What is the volume #V# of the solid obtained by rotating the region bounded by #y=2/x, x=7, x=14, y=0#, rotated about the #x#-axis?
- Find the #n^(th)# derivative of the function #ln(x+2)#?
- Integrate by parts ? e^-x cos 2x dx
- Integrate by parts ? 15x sinx dx
- The solid whose base is the region bounded by y= x^2 and the line y=1 and whose cross sections perpendicular to the base and parallel to the x-axis are squares? .
- Determine the intervals where the graph of the function f(x)=x+1/x is concave up and concave down and inflection point?
- #int_(pi/4)^(pi/2)(-e^(cotx))/(sin^2x)dx=#?
- What was the derevative of e^Sinx from first principle?
- Integral definite #int_0^3(xdx)/sqrt(36-x)# ?
- F(t)=sec pi t/4?
- Find the intervals where the function f(x)=ln(x^2-1) is increasing or decreasing?
- Write the nth term of the sequence -1/2,1/3,-2/9,4/27,-8/81?
- Using the first 10 terms graph the sequence, and use the graph to discuss the convergence or divergence of the sequence an=cos(npi/2)?
- Using the first 10 terms graph the sequence, and use the graph to discuss the convergence or divergence of the sequence an=3-1/2^n?
- If an isosceles triangle has perimeter P, how long must the legs of the triangle be to maximize its area? (Your answer may depend on P).
- On what points does f(x)=(lnx)^2 continous?
- Solve the differential equation #dy/dx=8/root(3)xy#?
- Find f^(4)x when f(x)=x^4+3x^2-2/√x?
- If #y=(x^3)ln(x^3)# then #dy/dx=#?
- Integral of #int (1/sqrtx)dx#=?
- Integral of #[x/(x^2+4)^3]dx#=?
- What is the slope of a curve?
- How can you differentiate y=IN(x^2+3)?
- Use Ratio Test to find the convergence of the following series?
- Find the derivatives of f(x)=x^2+2cos^2(4t)?
- If #f(x)=int_(2x)^sinxcos(t^3)dt# then #f'(x)# is equal to?
- What is the limit where #lim_(x → 0) (sqrt(a+x) - sqrta)/(xsqrt(a(a+x)#?
- What is #int_(0)^(1) (e^(2x) - e^(-2x)) / (e^(2x) + e^(-2x))dx #?
- Identify an axis of revolution and generating conic of the surface #4x^2+25y^2+4z^2=100#. does this conic also generate #x^2/25+y^2/4+z^2/25=1#?
- How do I find the length of the specified arc of the given curve? y^2=x^3 between (0,0) and (4,8)
- What is the derivative of #f(x)=1/(sin^2x+cos^2x)#?
- What is limit of |x| as it approach zero?
- Determine whether or not the sequence an=cosn/n is monotonic and then discuss its boundedness?
- How to find the Limit of the following Term as x approaches 1?
- What is the function of the derivative f'(x)=1/x^2?
- Find the differential of y in the function: y=(x^3-2)^2 ?
- If #int_0^4f(x)dx=10# and #int_0^4x*f'(x)dx=2# What is the answer of => f(4)=?
- What is the integrate of x^2/(x-1)^3 ?
- Evaluate #I=\int\cos^4(x)dx#?
- How to get surface area of a cone using integral calculus?
- Series and sequences?
- Sketch the region bounded by the graphs of the algebraic functions and find the area of the region. f (x) = -x^2 + 2x + 3 and g (x) = x + 1 ?
- (constant coefficient systems phase plane method) # y_1'=y_1+y_2 , y_2'=3y_1-y_2 #?
- Kindly solve this? which option is correct?
- Find the absolute (or global) maximum and absolute (or global) minimum values of the function #f(x)=x+4/x^2# on the interval [1,4]?
- What is the equation of the tangent line of #f(x)=2x-x^2# at #x=0#?
- #x^2 ln(1/x)#?
- What is the integration of sinx/(2+cos3x) ?
- Find the arc length function for the curve y= integration 1 to x √(t^3-1)dt,1<x<4?
- How do you find the volume of a solid of revolution using the disk method for #y= 3/(x+1)#, #y=0#, #x=0#, #x=8# revolved about the #x#-axis?
- Show that the line integral #int_{-1,2}^{3,1}(y^(2)+2xy)dx+(x^(2)+2xy)dy# is independent of path and evaluate it?
- How do you integrate #int(x+2)/(x+1)^3 dx# =?
- If #f(x)=1/(x-1)# how do you solve #intd(f^-1(x))# =?
- Evaluate #int(xsqrt(a^2-x^2))/sqrt(a^2+x^2) dx#?
- Hello math sir, Can anyone please help me solve this question?I m banging my head on table but cuuldnt solve it.Detailled answer would be much appreciated please.Sorry for pics as on website you cannot upload big size pic so i had to crop it. Thank you.
- Integrate sin3x/4-cos3x dx=?
- Find the area of the region enclosed by y=ln(x) ,the x-axis,the y-axis and y=1 ? (a) dx select (b) dy select
- What is the maximum value of #Q(p,q,r)=2pq+2pr+2qr# subject to #p+q+r=1#?
- Integral of the power products following integral: #int_0^(pi/2)sen^2(theta/3)d theta# ?
- How do I determine If #int_0^1 3/(4x-1) dx# converges or diverges?
- Use Newton's method to approximate the given number correct to eight decimal places. #49^(1/6)# ?
- Does the function f(x)=#sqrtx# satisfy the hypothesis of the Mean Value Theorem on the closed interval [0,4]? Then find all numbers c that satisfy the conclusion of the Mean Value Theorem
- How do you integrate? #int(2x - 2)/(sqrtx +1) dx#
- How do you integrate?
- Find the values of x for which the function f(x)=x²-2x+1 is increasing or decreasing.Sketch the graph of y=f(x) ?
- Evaluate: integration[sin(x^0)dx]?
- True or false?
- The cost of fuel is running an engine is proportional to the square of the speed in km/h is ₹48 per hour when the speed is 16 kn/h.Other costs amount to ₹300 per hour.Find the most economical speed.?
- Integration of x/(2x+5)?
- Find integral of #(((x^2)+1).e^x)/(x+1)^2 # With respect to #x#?
- Differentiate #tan^-1((sinx-cosx)/(sinx+cosx))# with respect to #x/2#?
- Find the equation of the tangent line to the curve y=x^3 at the point (2,8)?
- Math HL IA topic suggestions???
- Find the curve y=f(x) in the xy-plane that passes through the point (9,4) and whose slope at each point is 3#sqrt((x))# ?
- Evaluate #int_0^1x^2dx# ignore limits on the integral ?
- What are the intervals which f increases and decreases, where f is concave up and down, and coordinates of inflection points? #x^4-5x^3+9x^2#
- Integral of the power products, where m is an even number m = 2k, solve the following integral:#int_0^pisin^2x*cos^4xdx#?
- Find the Limit?
- How do you compute #sum_"n=1"^oo(4^n+5^n)/6^n#?
- How do you find the intergal from 10 to 0 from the function f(x)=sin(x)?
- Which is the limit of sin^2x/x?
- How to resolve??
- Determine the convergence or divergence of the sequence an=nSin(1/n), and if its convergent, find its limit?
- Let f(x) = x^3 + px^2 + qx ?
- Let f(x) = xln(x). The minimum value attained by f is?
- How do you solve it ? (x−4)*y′=5*y+3
- Can anyone explain the derrivative of anti-trig functions (especially arctan)?
- What is the integral of (x-1)^2*sin(x^2-2x+3)?
- Determine if the power series converges or diverges for each value of x?
- What is the radius of convergence by using the ratio test?
- How do u differentiate e^sin(x) ??
- How do u differentiate ln(e)??
- Integrate ? e^x sin e^x dx
- Lim(ln(e^x-1))/x, as x goes to +infinity ?
- Integration of(1+x-1/x)e^(x+1/x)is?
- What is the antiderivative of 1/(2x + 1) dx?
- The length xmetre of green anaconda snake which is t years old is given approximately by formula x=0.7underroot(2t-1) where 1<t<10 find dx/dy and the rate of growth of snake which is 5years old?
- How do you integrate #int e^(-x)cos(3x)dx# using integration by parts?
- How do you find the intergal of (x^2+3x)^2/(2x+3)?
- What is the limit as x approaches ∞ in the gamma function? Does it even exist?
- Find the extremums of the function? #y^2+2x2y+4x-3=0# Thanks much..
- Area is A=30x-x^2 x can vary a)Find value of x at which A is stationary (I have found it's 15) b)find this statinary value of A and determine whether it's maximum or minimum value?
- Integrate ? 4 sin x dx
- Integrate ? 4x^3 cos x^4 dx
- #d/dx log_x x#?
- 2. Find the first 3 terms of the Taylor series for 𝑓(𝑥) = sin 𝜋𝑥 centered at 𝑎 = 0.5. Use your answer to find an approximate value to 𝑠𝑖𝑛 (𝜋/2+𝜋/10). How to do?
- Lim ato0 (a+x)^3/a ?
- How can i find the limits of x^2 e^sin(1/x) as x approaches zero?
- Why do we use the Chain Rule to find the derivative of the inverse sine?
- #\lim_(n\rarr\infty)(1-4/n)^n#: convergent or divergent?
- Does the series #a_n=(1+n)^(1/n)# converge or diverge?
- How do you differentiate #sin(3x)/(2x)#?
- Find an expression for the power series, then use the ratio test to find the radius of convergence?
- If #u= y/x+ z/x + x/y#, show that #x(partial u)/(partial x)+y(partial u)/(partial y)+z(partial u)/(partial z)=0# ?
- By the general of integration can we find the integration of #e^(x^2)# ?
- Integral of the power products following integral:#int_0^(pi/2)sen^2(θ/3)dθ# ?
- If #u= (1-2xy+y^2)^-1/2# , then show that #x(partial u)/(partial x)-y(partial u)/(partial y)= y^2u^3# ?
- Verify Rolle theorem for function: f(x)= #x^3-6x^2+11x-6# in the interval [1,3] ?
- What is the derivative of #f(x) = 1- sec x/ tan x#?
- How the differentiation happens of the expression ln t=ln r + ln h ?
- If f=x^3+y^3+z^3+3xy, then show that # x(partial f)/(partial x) + y (partial f)/(partial y) + z (partial f)/(partial z) = 3f#?
- If #f= x^2 y^2+2xy^2#, then show that #(partial ^2f)/(partial x partial y) = (partial ^2f)/(partial y partial x)#. obtain the value of #f_(xy)(1,1)# ?
- Must a function that is decreasing over a given interval always be negative over that same interval? Explain.
- How to do the question 2?!
- What is the limit where #lim_(x → 1) (sqrt(3+x)-sqrt(5-x))/(x^2-1)#?
- A point moves along the curve #y=2x^2+1# in such a way that the #y#-value is decreasing at the rate of 2 units per second. At what rate is #x# changing when #x=-3#?
- How to find integral #int_-4^3(x+|x|)/2tan^-1(3x)dx# ?
- Integral of the power products, solve the following integral: #(sin^3sqrt(x))/sqrt(x)dx# ?
- Which point on the graph of #y= sqrt(x)# is closest to the point #(7,0)#?
- What is the general equation of #dy/dx =e^(x+y)#?
- Laplace Transforms y'+5.2y=19.4sin(2t) By:y(0)=0 y=?
- Can you help me to solve this? thanks for help
- Given #f(t) = (t^2-1)/t#: What are the stationary points of #f(t)# on the real co-ordinate plane, if any?
- How do you integrate this?
- How do you find #\lim _ { x \rightarrow \infty } ( \frac { 5x + 9} { 7x ^ { 2} - 2x + 1} )#?
- How to prove that the series is converge?
- A bug is moving along the right side of the parabola y=x^2 at a rate such that its distance from the origin is increasing at 2 cm / min. At what rates are the x- and y-coordinates of the bug increasing when the bug is at the point (5, 25)?
- How do I find the derivative f(x)= xe^x, x=1?
- What is #int_0^pi\ x/(1+sin^2(x))#?
- Integrate sin9x cos3x dx ?
- What is the limit of ((|x+1|)/(x+1)) as x approaches -1?
- Integrate csc^3 2x dx ?
- Differentiation #1/(2x+1)# ?
- How to using disk/washer method to find volume by revolving? #y= 1/sqrt(x+1)#,y=0,x=0 and x=3 about x-axis
- Integral of the power products, where m is an even number m = 2k, solve the following integral #int sin^2x * cos^4 xdx# ?
- Find the vertical asympotote of #y=cscx-cotx, 0< x < pi# ?
- Where do I start with this?
- What is the radius of convergence?
- How do you evaluate #pi int_0^pi sin(x) dx #?
- How to find (f) if f′(x)=16x^3+6x+7 and f(1)=−1 ?
- What is the difference between derivatives and integration?
- Integrate 1÷(1 + cosec x ) ?
- How to find the value of a?
- How do you find the parametric equation of a tangent line at t=3 for the motion of a particle given by x(t)=7t^2+4 and y=3t^3?
- The hands on a clock are of length 15mm (minute hand) and 12mm (hour hand). How fast is the distance between the tips of the hands changing at 3:00?
- Let F(x) be an antiderivative of #(2(lnx)^4)/(3x)#, If F(2)=0, then F(8)=?
- If #f(x)={(ln3x", " 0<x<=3),(xln3", "3<x<=4) :}#, then #lim_(xto3)f(x)# is?
- What is the derivative of #log_e(x)#?
- Is #f(x) =(2x+8)^3/(x^2/3+1)# concave or convex at #x=-4#?
- How to evaluate limits #[e^x-(1-x)]/x# as x approaches 0?
- How to evaluate the limit #[e^x-(1+x)]/x^3# as x approaches 0+?
- Find dy/dx of the equations: x^y+y^x=1 ,and, x^y.y^x=1?
- Find the dimension of the rectangle of greatest area that can be inscribed in a circle of radius r?
- Calculate limit value A) #lim _{x\to -sqrt(5)}\frac{x^2-5}{x+sqrt(5)}# B) #lim _{x\to 4}\frac{xsqrt(x)-2x}{x-4}# ??
- What is the derivative of Tan inverse of x/1+√1-x^2?
- Find the length of an arc y = sqrt(x+2) from x=1 to x = 7. Any help to answer this?
- Given that #y = 2/(e^x + e^(-x))#, show that the second derivative is equal to #y - 2y^3#?
- How to find Find F' of #int_x^10(t+1/t)dt# Using the Fundamental Theorem of Calulus?
- #int_(-1)^1x^2/(sqrt(x^2+1)+x+1)dx# = ?
- If the slope of the tangent to #4x^2+cx+2e^y=2# at x=0 is 4, then what is the value of c?
- The radius of a circular plate increase at a rate of 0.01 cm/s when the radius is 12 cm.Find the rate at which area is increaseing?
- Given the curve y=9x-(2/x), where does the curve concave up and concave down?
- Population P grows according to the equation dP/dt =kP. If the population is initially 12000 and doubles every 8 years, what is the equation for P as a function of t?
- How do I solve #int tan^3 2xsec^4 2x dx#?
- Derivative of x?
- What is the value of #f^'(2)#?
- Find the radius of convergence of the following series. Does it converge or diverge? #sum_(n=1)^oo((-1)^nx^n)/root(9)(n)#
- How to differentiate 3/π sinx°?
- #lim_(x->4) (sqrt(1+2x)-3)/(sqrtx-2)# ?
- Derivative of x?
- Given the acceleration as (3t^2+2)i+6e^(-2t) j+10cos 5tk, find the magnitude of velocity at t=0?
- How to find #(partial^2z)/(partialx^2# given #z(x,y)=e^(-3x)cosy# ?
- A broken pipe leaks #5 1/2# gallon of water every #1/4# hour. To the nearest hundredth, determine the rate at which the broken pipe leaks water in gallons per minute?
- Integral #int_(1/e)^e ln(x)^2018/(x+1) dx# ?
- Int 1/1+x^6 =?
- What is the equation of the tangent line of #f(x)=1/absx# at #x=4#?
- Is it possible to solve this integrate by integrate substitution method?
- How to solve this very difficult volume problem involving integration?
- How do you integrete this?
- How to integrate #int e^x sinx cosx dx# ?
- How do I solve this problem?
- Determine f'(x) if f(x) = (x^3-2x+1)^5?
- Integrate the following? #5x^2 e^(x^3) dx#
- Integrate ? #3sqrt(4x+3) dx #
- Integrate ? #(2x+1)e^(x^2+x) dx#
- Integrate ? 1/(x+1) dx
- How do you integrate A and B?
- How do you derive a function composed of a division and a multiplication? Do you use the quotient rule or the product rule?
- Given f(x)=5-4/x find critical point c between 1 and 4?
- How to integrate ∫ (x^2−9)^(3/2) dx?
- How do you evaluate #\int _ { 2} ^ { 4} 2\pi ( 5- x ) x ^ { 2} d x#?
- The area under the graph y=square root of x from x=0 to x=3 is rotated around the x-axis to form a solid. What is the volume of the solid?
- Calculate the largest possible area of the field ?
- How would you solve this infinite series? #sum_(n=1) ^oo (5-cosn)/sqrtn#
- A square plate of metal is expanding under the action of heat, and its side is increasing at the uniform rate of 0.1 cm per hour. What is the rate of increase of its area at the moment when the side is 16cm long?
- How to determine dy / dx, d^2y/dx^2, for which curve values is concave upwards?:
- How should f(2) be defined so that f is continuous on (0, ∞) ?
- How do you integrate this? ∫ dx(x²-x+1) I'm stuck on this part (image uploaded)
- What is the integral of 5(6t+e^(-t))(2t+4) with respect to t?
- An object's velocity is given by v(t)=0.12t^2 + 8t m/sec. At t=10, the object's position is x=500m. What is the equation for x(t)?
- What is the average value of the function f(x)=3x^2-4 on the [2,6]?
- Find the maximum and minimum points of the curve y = #x^3-x^2-5x#?
- Putting x=theta-pi/4 show that limit of (sintheta-costheta)/(theta-pi/4)=sqrt2 as theta approaches to pi/4?
- Evaluate #int_0^∞(e^(-sqrt(x))/(sqrtx))dx# ?
- Multiple Choice question: why is the answer B? I would think it's C.
- How do you find the integral of #f(x)=e^xcos2x# using integration by parts?
- Y=(1-2sin^2x) what is dy/dx ?
- What is the integral of 1/(1+cosx)?
- How to find these type of question easily, without using L-hopitals rule?
- What is the lim h → 0 (x+h)^1/2-(x)^1/2/h?
- What is multivariable calculus?
- Determine whether the infinite series converges or diverges? #sum_(n=2) ^oo (ln(n^2))/n#
- What is the limit of #6x^2 (cotx)(csc2x)# as #x->0#?
- What's the Limit of #(1/x)^(1/x)# as #x# approaches infinity ?
- Test for divergence? #sum_(n=1) ^oo ((n+2)/n)^n#
- How can I tell if this is convergent or divergent?
- Is #n!# differentiable?
- What is the limit of #(4x-x^2)/(2-sqrtx)# as #x# approaches #4#?
- compute the integral: #int cos^2 x dx # ?
- What is #f_x# when #f (x,y) = sin^2 (x^2y^2)# ?
- How can I solve this differential equation, #y'''-3y''+7y'-5y=x#, using undetermined coefficients?
- Does anybody know how to solve the limit of #(x^x-x^{x^2})/(1-x)^2# when #x->1# ?
- Would you be so kind help me please? It's about real analysis.
- #lim_(n->oo)(sum_(k=1)^n(sqrt(2n^2+k)/(2n^2+k)))#?
- How do you integrate?
- How can I solve this differential equation (y'''-6y''=3-cos x) by undetermined coefficients?
- How do solve applications of differentiation?
- Integrate : dy/dx = 2x + y ?
- Use newtons method to find positive root of 3 sinx = x?
- Int1/1-sin^4x =?
- Please help me to solve this problem? It's about real analysis. I am studying it for preparing my midterm.. Thank you very much for your help.
- Y=(1+x/1-x) ^2 ? find dy y=(1+x/1-x) ^2
- Help me to solve this problem please? It's about real analysis. I am studying for preparing my midterm, but I still have many difficulties.
- Find the limit?
- How to integrate #xcsc^2x#?
- How do I find this in terms of constant A? lim as h--> 0 7(a+h)^2-7a^2.
- Help me to find it please? I am studying for my midterm in real analysis and I got problem in it.
- Use Ratio Test to find the convergence of the following series?
- Find the values of x for all points on the graph of f(x) = x^3-2x^2+5x-16 where the slope of tangent is 4?
- A piece of wire #26 m# long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How much wire should be used for the square in order to minimize the total area?
- Lim ((x^2+2x+2) / (x^2+3))^x ?
- Use Ratio Test to find the convergence of the following series?
- How do you integrate #(sqrt x) * (cos sqrt x)# ?
- #lim_(x->oo)((sqrt(x)/(|__x__|))#?
- please help me? d/dx(e^2ln(tan5x))
- What is the derivative of #2x^3#?
- Could someone help me evaluate this another limit?
- How do you integrate #xsec^2x#?
- Could someone help me evaluate this limit?
- How do you integrate #sin (ln x)#?
- Immediate. Immediate. Please help with limit problem?
- Calculate the area of a small leaf?
- How do you solve the series (7 - 9 + (81/7) - (729/49) + ... )?
- Find the limit value. URGENT (?)
- Can anyone give me the idea of undefined Integral =?
- Find the derivative of f(x)=x2sinh−1(2x)?
- How to Sketch the curve of this equation?
- What are the derivatives of the inverse trigonometric functions?
- Infinite geometric series? #sum_(n=1) ^oo (3^(2n))/4^n#
- A particle is released from rest at point O at time t= 0 and it falls vertically that its acceleration at is given g-kv,where k is positive constant, g is gravity,v is instantaneous velocity at time t.Express v in terms of g,k and t?
- How can i find the first derivative of f(x)=xx the last x is in absolute value form. Is f"(0) defind? (please HELP i am REAlly in NEED).
- How do you differentiate #d/dx e^ln(x^2)# ?
- (1 point) A rock is thrown into a still pond and causes a circular ripple. If the radius of the ripple is increasing at a rate of 4 feet per second, how fast is the circumference changing when the radius is 20 feet?
- How toIntegrate 7/(e^9x-13) dx?
- What point on the graph of y = sin x is the closest to (0,1)?
- Limit of sin2x/x, x approach 0 ?
- How do you find the Limit of #(x(cosx-1))/(sinx-x)# as #x# approaches #0#?
- Solve dy/dx=(y+x^2-2)/(x+1) ,y(0)=2 ??
- How do we integrate cos(x)-sin²(x)/sin(x)*cos(x) plzzz ?
- For what values of #m# is line #y=mx# tangent to the hyperbola #x^2-y^2=1#?
- Prove that f is invertible and find (f^-1)'((1)/(2) ?
- #int sqrt(x^2+5/x)=#?
- What is the value of #lim_(x->0)[(1+x)^(1/x)-e+1/2ex]/x^2# ?
- Write an equation for the line ?
- Evaluate: #int_1^2 1/(x^3+x) dx# ?
- Lim. f(x)=(x^2-x)/(2x^2 +5x-7) x → 1 Someone can help me ?
- how do you integrate #int_0^1 1/sqrt(1+4x^2) dx# ?
- What is the derivative of ?
- What is the derivative of ?
- How can i find the implicit diffrentiation of 4x*2-8xy+9y*2=16??
- How do you determine the minimum value of the function f(x)= 4^x -8?
- How i do to solve this integrate?
- How to calculate the derivative?
- Find an equation of the curve y = f(x) ?
- How can i find the derivative of f(x)= x÷((x^(1/2) -1) ??
- How to answer these questions using differentiation ?
- Differentiate from the first principle the derivative of ln(x)?
- If y= cos(sin X). d²y/dx²+Tanx.dy/dx+ycos²x=?
- What is a Standard Integral?
- How to resolve this limit from Vector Calculus?
- What is the first differential of #Y(x) = sinx*lnx# ?
- What is the Stationary point, x and y intercepts, point of inflextion of f(x)=(x-1)(x-2)^2 ?
- X+√xy=x² ?implicit derivative
- What is the integral of sqrt(9-x^2)/x?
- How do i solve this ?
- Using d'Alembert method, R = what? #lim_(n->oo)# #((x+1)^n)/(2^(n)(n!))#
- Let y=ln(x) find the fifth derivative of y pls? (d^5y/dx) the one in curry bracket is same as fifth derivative so pls don't get confused
- Y=x^2cos(x)/sin(x) find dy/dx ? pls help
- #int (3x^3+5)/(5x-3) dx=#?
- How do i integrate this using substitution method (x*5+3)/(x*6+18x+3)?
- How do i integrate (9x²+6x+6)(x³+x²+2x)?
- What is the Hessian for the function # f(x_1, fx_2) = (x_1 + x_2)^N #?
- The function f (x) is defined as #f (x) = {(-1, x ≤ 0),( (x + 2) ^ 2, 0 < x ≤ 3),(x, x > 3):}#. The area under the f (x) curve between x = (-2) and x = 5 is? Options: a) 27 b) 205/3 c) 155/3 d) 80
- What are the inflection points of f(x)?
- How do we differentiate #sqrt(2sin(sqrtx))#?
- Give the function f(x) = a^x for some real constant a ?
- Int_1+x^4/1+x^6 =?
- #lim_(n->oo)root(n)(n^2 (sqrt[2])^n + (pi/2)^n + 3 (3/2)^n) = # ?
- Use the shell method to find the volume of the solids generated by revolving the region bounded by the curve and line about the y axis? y=x,y=-x/2,x=2 y=x2,y=2-x,x=0 for x> or equal to 0
- How do you go about this question? #inte^(x+e^(x))dx#
- Integral (sin t dt)/(25 + cos^2 t)?
- How do i find the volume of this solid?
- Evaluate the integral with hyperbolic or trigonometric substitution. ?
- Evaluate the integral with hyperbolic or trigonometric substitution. ?
- What is an infinite limit?
- Integral of the sine power function with exponent par m = 2k solve the following integral: int sin ^ 6xdx?
- Water is building up in a bathtub. After 2 minutes there are 12 gallons of water and after 4 minutes, there are 20 gallons of water. What is the average rate at which water is entering the bathtub from #t=2# to #t=4# minutes?
- What is the first differential of #f(x) = 2^xln(2x)#?
- An open topped rectangular box with a square base has a surface area of 10,000 #cm^2#. What are the dimensions of the box that make its volume a maximum and what is this maximum volume?
- ∫tanx.secx²xdx=?
- Derivative of f(x)=e^x^2?
- Evaluate the integral with hyperbolic or trigonometric substitution. ?
- What is the integral of ln(1+4x^2)/1+4x^2 ?
- What is the equation of the tangent line of #f(x)=3x^2# at #x=1#?
- Evaluate the integral with hyperbolic or trigonometric substitution. ?
- Integral of the sine function with exponent solve the following integral: int sin ^ 6xdx?
- If #x^ { 2} \cos x d x = f ( x ) - \int 2x \sin x d x#, what is #f(x)#?
- SKetch the graph of y=-3x^2+x-4?
- The function k(x)=tanx is concave in which point?
- The function f(x)= x sinx this function is concave and convex in which points?
- Dy/dx of tan inverse of (1+sinx)/(1-sinx) ?
- How do you solve this integral?
- What is the limit as x approaches 1+ of the function (lnx)^x-1?
- Where are these examples discontinuous?
- Derivative of cos(2x+3) w.r.t. x?
- Prove that lim 1/(x^3+1)=2 when x approaches 1?
- What are the maximum and minimum values of the function #abs(2x-3# at closed intervals [1,2]?
- What is Lim (1-sec x)/x when x approaches to 0? Thank you
- By writing xx as 4+(x−4) and using the Maclaurin expansion for ln(1+t), or otherwise, find the first four non zero terms in the Taylor series expansion for ln(2x) about x=4?
- Limxtends to infinityx/modulus of x..?
- Differrntiate from first ptinciples (a)f(x)=3x^3-4x (b) f(x)=2/x^4?
- How to Differentiate ? f(t)=((t-2)/(2t+1))^9
- How to write an equation of the line tangent to the curve #(3x^2)/(x^2+x+1# at point p(-1,3) in the form ax+by=c?
- Find #lim_(x->0) (xe^(1/x))/(1+e^(1/x))# ?
- Find the integral of #(x^2+1)/(x^3+3x)# ?
- #f(x) =-3e^(x+4)+e^-3# Find #f'(x)# ?
- What is the interval of convergence of the Taylor series of #f(x)=1/(1-x)#?
- Let #F(x)=int_(0)^(x^2)e^(x^2)dx# how do you find #F'(x)# ?
- Let #dy/dx=-(2x+2y)/(2x+3y^2)# how to find #(d^2y)/(dx^2)# ?
- For an object whose velocity in ft/sec is given by v(t) = 2sin(t), what is its distance, in feet, travelled on the interval t = 1 to t = 5?
- Given f(x)=(e^-x)•sinx on [-pi,pi]. Identify the x- and y- intercepts, local extrema, and inflection points. Use this information to sketch the graph. Can you help finding the local extrema?
- How to integrate # cos(x)ln(sin(x))dx#?
- How to determine is #sum(-1)^n n/(n+1)# absolutely convergent, conditionally convergent or neither?
- Find equation of the tangent line f(x)=x^2 at (-2, 4)?
- #limx->0 ((e^(4x)-1-4x)/(x^2))# using l'hopital's rule limit as x approaches 0 ((e^(4x)-1-4x)/(x^2) using l'hopital's rule?
- How do you find the limit of x^(1/lnx) as x approach 0 from positive side?
- Sketch a function with the following characteristics?
- How do you find what this series converges to? -1/7 Σ (n=0 to infinity) ((4^n)/(-5)^(2n-2))
- Use comparison test to determine convergence of the following series?
- How to use test for divergence? #sum_(n=2) ^oo ((4+n)/n)^n#
- What is the limits?
- Does the series converge or diverge? #sum_(n=0) ^oo (5^(n-1))/6^(n+1)#
- Help plz.!! Given that #y=e^(x^2)#, find #dy/dx# Hence find #int xe^(x^2)dx#?
- Find where slope of y=√x is 1?
- Knowing that #sinh(x)=(e^x-e^(-x))/2# and that the Maclauren series for #sinh(x)#is #sum_(n=0)^oo (x^(2n+1))/((2n+1)!)#.Using the fact thatthe Maclauren series for #sinh(x)#converges to#sinh(x)# to showthat #sinh(x)# is an odd function #sinh(-x)=-sinh(x)?
- At what point is 2 the slope of curve y=x(4+x) ?
- What is the derivative of ( tanx+cotx)/(tanx-cotx)Answer is: #-2sec2x tan2x#. How to get this answer??Please help me
- How to answer this ?
- Show that f^2 − g^2 = C ?
- Gasoline is pumped from the tank of a tanker truck at a rate of 20L/s. If the tank is a cylinder 2.5m in diameter and 15m long, at what rate is the level of gasoline falling when the gasoline in the tank is 0.5m deep?
- Sketch the region whose area is given by the definite integral.?
- Differentiate y=ln(3x^2e^tanx)?
- Find y' and y''? #y = x^2ln(2x)#
- Integration using substitution??
- Y=2x^2 +8x +2 from range -2,-1,...+2 determine point of inflexion?
- How did he solve this integral?
- How do you find #\int _ { 4} ^ { 9} \frac { x + 1} { x+ 2\sqrt { x } - 3} d x#?
- Does the limit #lim_(x rarr oo) e^x/x^2 rarr oo# exist? If so evaluate it.
- Arc Length Problem?
- Differentiation sec^-1(1+ tan^2x/1-tan^2x)?
- Calculus Integration Help?!
- How to show if #sum_(n=0)^oo (ln(n)^n)/95^n# converges or diverges by using root test?
- How to show if #sum_(n=2)^oo 1/(n^2+ln n)# series converges or diverges by using comparison test?
- How do you find a derivative of f(x)=(2x^2 + x)^3 (x)/√x?
- How to determine whether the infinite series converges?
- How to find the surface area of revolving about axis?
- #f# is some diﬀerentiable function. #f'#, the derivative of #f# is shown below [note, is not the graph of f itself]. Use the graph to answer the following questions [For parts (a)-(c), select all that apply]? (See image below)
- Int_x^2/(1-x)^2017 =?
- What is the integral of sin x cos^2 2x?
- How to differentiate #1/(2x+1# by first principles?
- How do you integrate?
- How do you integrate?
- Find #d/dx arctan(sqrt(x)+sqrt(a))#?
- How to derive ? sin 2 u = 2 sin u cos u
- Sketch a continuous function that fits the given information below?
- How do I find #F(x)=int(x^2+5x+6)/(x+1)dx#?
- Calc 2 question?:Find a function whose Maclaurin expansion is 1 + x3 + x6/2! + x9/3! + x12/4! + ...
- Integral of sinx.dx?
- How do you integrate?
- Differentiate y=(x)sin^(-)(x)?
- State the limit of #1/3,1/9,1/27,1/81,1/243....(1/3)^n#?
- Integral of 1/(route 2x+5)+(route 2x-3)?
- Find tha maximum value of sinx+cosx?
- What is the maximum value of y for the equation y=1+3sinx?
- Int_Sin4x/Sin^4x+Cos^4x=?
- What is the integration of (2x+1)/(2x+3) ?
- For a given point on a function, does differentiability imply continuity?
- Which value of c satisfies the conclusion of the mvt for the function f(x)=7x^2+3x+7 on the interval [-3,3]?
- Write a definite integral that yields the area of the region. (Do not evaluate the integral.)?
- What is the correct option of the following question?
- Find the particular solution of the differential equation that satisfies the initial condition(s). ?
- Write a definite integral that yields the area of the region. (Do not evaluate the integral.)?
- How do you integrate?
- How do you find f'(x) and simplify?
- 1. h(x) = cos(sin(tan x)), how do I solve this?
- Does the series diverge?
- How do I solve this differential equation?
- What is the limit of this ? #lim_(x->0) (e^x - e^-x -2x)/(x-sinx)#
- Find f(x+h)-f(x)/h for the given function? f(x)=5x^2-6x+4
- #int (x^2-1)/(x^4+x^2+1) dx#?
- Prove that?
- Maximum no. of critical points that a polynomial of degree n can have?Why?
- Coordinate of P is (1,1) and the coordinate of Q is (2,0). What is the area of the area bounded by the curve #y=2x-x^2#, the straight line #x+y=2# and the y-axis?
- How do I solve this integral? This is the center of gravity of a cone.
- How to differentiate e^(xy)+1/y=5x+6?
- Find the definite integral of the following between x = 2 and x = 6?
- Integral by substitution trigonometric ? a- ) int x/sqrt(9-x²)
- Perform the following indefinite integrals ∫Cos(10x) dx?
- Use divergent test to determine convergence of the following series?
- Is this right? ∫(dx)²=∫2dx
- What is meant by the term differentiation?
- How to solve initial value problem?
- Find the intervals on which the following function is increasing and decreasing and as well as its concavity? f(x)=x^2(1+x^2)
- Find a general solution? check answer using substitution.
- Perform the following indefinite integrals #∫e^(5x)dx#?
- Differentiate the following polynomial and algebraic expressions? #y = 7x^3 + 9x^2 - 12x + 60#
- Differentiate the following polynomial and algebraic expression #y = 10x + 8x4^4#?
- Differentiate the following polynomial and algebraic expression y = 9x + 33 ?
- How to differentiate this by using chain rule?
- How do you Maclaurin e^(2/x), when x--> 0 ?
- Estimate the area under the graph of f(x) = 2 - sin(x)?
- Derivative of xln(x^2+4)?
- Use divergent test to determine convergence of the following series?
- Let #G(x)=int_x^{-2}cos(t^2)dt#. Then what is G'(x) ?
- How do you find the gradient at x?
- Evaluate the series?
- How do I do this?
- What the second derivative of #7x#/#x^2#+4? help me??
- Differentiation of secx(tan√x)? In few steps.
- Evaluate # lim_(x->0) (tanx-sinx)/(xcosx)#?
- Solve #lim_(x->0) (2tanx)/(xsecx)#?
- I'd need help with the whole question..but even just in part 9i, the answer is d(theta)/d(t)=kt. Where does the t come from?? It's simple things like this which confuse me.. Thanks for your help!!
- How do i find the derivative of y=arctan ((x^2)+1)?
- Use divergent test to determine convergence of the following series?
- What is the Integration of dx ?
- How do you find the limit as x approaches 0 of x^2.e^sin(1/x)?
- Hi. I don't quite get this: At the point where the function f(x) = e^x intersects the y-axis the tangent is drawn. Find the x-coordinate of the intercept of this tangent with the x-axis. ?
- What is the integration of secx dx ?
- (I) find the equation of the tangent to the curve y=x^2-2x-3 at the point (3,0)? (II) A curve is such that day/dx=15x^2-12x.Given that it passes through (1,3). Find its equation?
- How do you find dy/dx by implicit differentiation of -x^3+xy+y^4=10?
- Find the differential of y in the function: y=^3√t(t^2+4)?
- How do you solve this using the definition of derivative ??? f(x)=cos(x^2 + 1) ?? - thx for helping !!
- How to apply ratio test on series (e^n)/n^e) to determine of series converges or diverges?
- Approximate the value of ^3 sqrt 27.3 using the tangent line of f(x)= ^3 sqrt x at point x= 27?
- Help with trig sub for #int_(xdx)/(4-x^2)#. Solution is resulting in a #-ln|costheta|+C# before final answer and I'm not seeing where it comes from?
- Find the volume using disk/washer method of region bound by curves y=e^-x/2, y=ln(9)? The solid is generated when R is revolves around x-axis. The boundaries are ln(9) and 0. I just need help setting up the integral. Thank you.
- Differentiate?
- How do you find maclaurin series for f(x) = x^2 ln(1 + x^3)?
- A right circular cone has a given curved surface A. Show that when its volume is maximum the ratio of the the height to the base radius is √2:1 ?
- Is it possible for a function f(x) defined for all x to have the following three properties: f(x) > 0, f'(x) < 0, and f''(x) < 0 ?
- Integrating with respect to y, Skecth the following regions (if a figure is not given) and find the area? how to solve this problem step by step with application of integration?
- Derivative #tan(sqrt(x))# using first principle method?
- Integration by substitution trigonometric? int sqrt(25-x²)/x dx
- Integration of cosx.sin square x ?
- How do I solve this differential equation?
- Lim x - (1/2)(ln (1+ e^2x) + (1/2)(ln (2)) when x---> +(infinie) ?
- How to differentiate this?
- Limit (n~■)[2n!÷n!n^n]^(1÷n) here■is infinitive?
- Hello maths friedns! (Q-F) hope everyone is fine ,can someone please help me solve this question?.I have tried it multiple times but always get stuck.Its question based on L hopital rule and i have provided answer as well.Would really appreciate the help.
- The population of a culture of cells after t days is approximated by #P(t)=(1600)/(1+7e^(-0.02t))# when t ≥ 0 ?
- How to find the Maclaurin series and the radius of convergence for #f(x)=1/(1+x)^2#?
- Find the limit?
- What is the integration of #(x^6+1)/(x+1)# ?
- When will the slope field for differential equation (2x)/(4y-xy) have vertical segments?
- How do you plot the slope field for the differential equation dy/dx=xy?
- Optimization questions involving revenue?
- Using chain rule to find the answer?
- Integration using substitution trigonometric help me? int x/sqrt(9-x²) dx
- Derivatives of Cot^2(A÷2) ?
- What is derivative of ln(x)?
- Find Integration of #(x^3)/(x^3) - 2x - 3# ???
- Water is being poured into a hemispherical bowl of radius 3 inch at the rate of 1 inch^3/s. How fast is the water level rising when the water is 1 inch deep ?
- If #y=tan^(-1)(x/y)# then #dy/dx# will be? (a) #y/x# (b) #-y/x# (c) #x/y# (d) #-x/y# (e) #-xy#
- Find limit?
- Integral x4+2/x2+1dx?
- How do you integrate the following Integral?
- How do go about this problem after finding dp/dt in terms of and dV/dt?
- Find the volume of the cone of maximum value that can be inscribed in a sphere of radius R?
- Prove that x+y=xy , if d^2y/dx^2=2 (y/x)^3?
- #\int_0^\inftye^(-ax)\cos(bx)dx#?
- Can somebody please explain to me the signs used for ∂m in this solution, with regard to the 'u'. I do not understand why '-|∂m|' is used, and then how it is later changed to a '+∂m'? Thanks in advance!
- I really need help with this plz i) Find #d/dx(x^3lnx)# ii) Hence find #intx^2lnxdx# ?
- How to find the area bounded by the given curves?
- Calculus intergration find. 3x²+3x?
- How to solve using derivative??
- Evaluate this limit?
- Integrate #(sin2x)/("p"cos^2x+"q"sin^2x)# ?
- Integrate #(x^2+1)/(x^2-1)^2# ?
- Slope of the tangent line?
- How to differentiate?
- What are the chain rule formula(s) for differentiation?
- How do you differentiate this?
- Why is the domain of the function #ln((2x)/(2+x))# x<-2, x>0?
- When do you use a **Logarithm** when taking a derivative?
- How do I find local maxima and minima of a function?
- Find intervals for which f is increasing and decreasing, local max and local min, concavity and inflection points? f(x)=sinx + cosx, [0,2pie]
- What is the derivative of #f(x) = 1/(xlnx)#?
- What is the slope and y intercept of y=2x?
- How we Integrate 1/ ((x^10) +x)?
- Integration using substitution #intsqrt(1+x^2)/x dx#?How do I solve this question, please help me?
- What A is equal to as A is a constant?
- What is the second derivative of sec²x?
- What is the differential dy of y=sec(x^2-1) ?
- How do you find the volume by rotating region R about the x-axis?
- How to evaluate this equation?
- Consider the function f(x)=x³+x²-6x+1. Find all the points on the graph of f where the tangent line has slope of -1?
- Find the slope of the tangent at the given point?
- What is the average rate of change for the function over the interval, #f(x)= 3/(x-2)# between #x =4# and #x=7#?
- Using the first derivative, what are the critical points of the curve and the intervals where it's increasing and decreasing?
- How do you differentiate?
- For the sequence defined by #a_"1"=2, a_"n+1"=1/(3-a_"n")#, how to show that it is bounded below by 0?
- What is the shortest distance from the point #(-3,3)# to the curve #y=(x-3)^3#?
- Method of substitution is used. Step-by-step solution is requested. How do we integrate when u = [ 1 - sin( x ) ]?
- Integration of [X+[x+[x]]] at limit -1 to 1 ?
- Show that #f# is not constant and find #f#?
- The value of the summation is =?
- Find y'' for siny=cos2x?
- How can I find the limit of 6^x/5^(x+1)as x approaches infinity?
- How to differentiate?
- #((1-sqrt3)/(1+sqrt3))+((sqrt3+1)/(sqrt3-1)) =?#
- How to differentiate this?
- How do you find #y = \frac { 2x + 1} { 4x + 5}#?
- How to differentiate this step by step?
- Find the average value of the function on the given interval?
- Find the area of the region bounded by y=4-x^2 & y=2x+1 =?
- Is the answer for #lim_(x->2)(x+1)/(x^2-x-2# 0?
- Solve: Lim #x->1# #(sqrt(x)-sqrt(2-x^2))/(2x-sqrt(2+2x^2)# ?
- Integral of 1/x^2*(x-1) dx =?
- Equation of the tangent to curve using logs?
- Integra of x^7/(1-x^4)^2 dx =?
- How to find the 1st derivative of #y=(x+1)^2sqrt((x-1)/(x+4)^3)e^x=#?
- Solve this limit?
- How to find maxima, minima, and critical points of #4x^5 -7x^3 +x#?
- Find f′(a)f′(a). ?
- Please help solve this, I can't come up with a solution. The question is to find f? Given #f:(0,+oo)->RR# with #f(x/e)<=lnx<=f(x)-1 , x in (0,+oo)#
- What is the gradient of this equation of the curve y=2x+(8/x^2)?
- Solve #lim/(x->0)=(sqrt(9+x) -3)/x#?
- Partial derivatives?
- İntegral tan2x?
- Integrate x root 1+ x - x^2 ?
- A cam is to be made to hold a liter of oil. find the radius of the can that will minimize the cost of the metal to make the can.?
- How do I solve this limit? #lim_(x->0)((1-cos^3(3x))/(xsin6x))#
- X+y=50 which x and y are two positive numbers (a)for which numbers x is the product of the two numbers an increasing function of x (b)what is the maximum value of their product?
- Can anyone help me with this limit problem?
- What is the derivative (dy/dx) of xcos(2x+3y) = ysinx ?
- Integrate (x/2+5secxtanx-6csc^2x+4^x+8)?
- Evaluate #int_0^1 (t/(1+t^3))dt#?
- Find an equation of the tangent line?
- Find #dy/dx# of #y=sin(cx)sin^c(x)#?
- Why does a sum using the difference method need to factorise out common factors?
- Integration of (1/((x+(x^2+1)^(1/2))^3 at limit 0 to infinite ?
- Prove that #In=sec^n-2xtanx/n-1+n-2/n-1 In-2#,where #In=∫sec^n dx#. Hence deduce #I4#?
- Derivative of y=x²×3^x?
- What the derivative of lnx?
- Can someone please explain what is going on here?
- Find the limit of {4sqrt3-(cosx+sinx)^5}/(1-sin2x) as x approaches to pi/4?
- What is the #lim_(h rarr 0) (arcsin(a+h) - arcsin(a))/h = 2# ?
- Optimization Problem - What length will the wooden wall be if the farmer is paying the least amount for the total cost?
- For which #x in RR# does the series P(x) converge and for which does it diverge? #P(x) = sum 1/n * x^(n+2)# And how do i show that the relation #P'(x) - 2*((P(x))/x) = x^2/(1-x)# is valid for the inner side of of the convergence intervall?
- Use your calculator to find the approximate volume in cubic units of the solid created when the region under the curve y = sec(x) on the interval [0,pi divided by 3] is rotated around the x-axis?
- How do you integrate #\int {\frac { 1} { 1+ x ^ { 2} } - \frac { \cos x } { \sin ^ { 2} x } \} d x#?
- What is #int -x/ (x^2 -2x +1)dx#?
- How do I find the horizontal limits of f(x)=(2x^3-11x^2-11x)/(5-9x-6x^3)?
- Integral of Sec^2 x/(secax+tanx) ^9/2 dx=?
- How do you find the rate that the angle from the car's starting position to its current position as it's increasing?
- How do you differentiate this equation?
- Find the equation of the tangent line to the curve x^2 + y^2 = (2x^2 + 2y^2 -x)^2 at the point 0, 1/2?
- Give example of functions f and g such that #lim_(xrarrc)[f(x)*g(x)]# exists but either #lim_(xrarrc)f(x)# or #lim_(xrarrc)g(x)# does not?
- Use implicit differentiation to find an equation of the tangent line to the curve at the given point. ?
- Differentiate #sqrt(x-1)/sqrt(x+1)#?
- Find derivative of the following function?
- What can you say about a function f defined on #RR#, periodic and growing ?
- How to solve #int 1/(x+x^(2017)) dx# step by step?
- Find the limit?
- #intsqrt(x^2 + 5)/xdx#?
- What is the derivative of the following function? g(x)=sqrt(x^(sin(x)))
- Find the values?
- Determine the general solution for differential equation 2x lnx dy/dx = lnx/2 -y ?
- Hi everyone, I am having difficulty in getting the correct answer for some reason. Can someone assist me and explain how to do this properly?
- A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.6 m/s, how fast is the length of his shadow on the building decreasing when he is 4 m from the building?
- If #n/(n-1) * 1/n * n/(n+1) = 5/k# for positive integers #n# and #k#, what is the value of #k#?
- Integral of dx/a+b*tan^2 x =?
- Integral of dx /x^2018 - x=?
- Differentiate (sin/x)^1/x^2 ?
- How to differentiate this equation?
- Find a and b such that f(x)=x^2+ax+b has an average value of 34/3 over [0,1] and an average value of 88/3 over [0,5]?
- How to differntiate f(x)=tan(x)*sin(x) to get f(x)'= (cos(x)^2 + 1)*sin(x)/cos(x)^2?
- How to differentiate these equations?
- Please help me with this calculus applications question?
- What is #(d^2y)/(dy^2)#? #y^3+3x^4y-x^2=siny#
- Which of the following are improper integrals?
- What is the derivative of the following function? f(x)=ln(sqrt(x^sin(x)))
- Is the sequence divergent or convergent?
- Heello math friends! i have one question can we sue quotient rule in l hopital rule questions.?I have sent solution, plz have a look.If it is wrong plz solve it and any details answer in form of solve question and guidance would be great.
- How do I find the restricted values of x?: 6x/8x^2-7x
- Does the series # sum_{n=1}^oo (5n)^(3n)/(5^n+3)^n# converge or diverge?
- What is the local max of f(x) =x sin x?
- What is #int cos^2(3u)du#?
- What is #int ((x^2) / (sqrt(1 - x))) dx#?
- Differentiate y=√x^2+√4x-√3 ?
- How to find the gradient of the tangent to this curve?
- Integral of #1/sqrt(tanx) dx=#?
- Evaluate integral #xtan^2xdx#?
- Evaluate #int(x^6+1)/(x^2+1)dx# ?
- Find 2 x values for normal which have the gradient -1/12?
- How shall I proceed in this sum? If #x=sint# and #y=sin2t#, prove that (i) #(1-x^2)(dy/dx)^2=4(1-y^2)# (ii) #(1-x^2)(d^2(y)/dx^2)-xdy/dx+4y=0#
- Is xcos2x even or odd?
- The area enclosed by the curves y=-(x-1)^2+5, y=x^2, and the y-axis is rotated about the line x=4 to form a solid. What is the volume of the solid?
- ∫e^x^2 dx=?
- How do you find the Maclaurin series of e^(-3x^4)?
- Find the point on the indicated intervals if f(x) =x^2-x-2 in [-1,2] ?
- Help number 1?
- A 3m ladder has a bent rung 2m from its base. How fast is the distance the bent rung is from the wall changing when the base of the ladder is 1.7m from the wall and the top of the ladder is sliding down the wall 1m/s?
- A sector of arc length x cm is removed from a circular piece of paper of radius 4 cm. The remaining piece is used to make a cone. Find x so that the volume of the cone is a maximum?
- A spherical balloon is being inflated so that its volume is increasing at the rate of 10cm3/sec. Find the rate at which the diameter is increasing when the diameter is 20cm?
- Find derivative of sin^5 (3x-2)?
- Find an equation of the tangent line to the graph at the given point. ?
- Evaluate the limit?
- (1 point) A rock is thrown into a still pond and causes a circular ripple. If the radius of the ripple is increasing at a rate of 4 feet per second, how fast is the circumference changing when the radius is 20 feet?
- What is the integral of -costsint+cos^2tsint+4sin^3tcostdt from o to pi?
- How we can integrate this ? ∫1/(x²-1)²dx
- Let y = 10x^3+2x^2+5 a. find the average of change at which y changes with x over the interval [2,5]? b. find the instantaneous rate of change y with respect to x at the point x = -1?
- How do I derive #y=sqrt(9+x^2)+sqrt(x^2-10x+41)#?
- The derivative of tan x with respect to x is ? 1-tan x^2
- A curve has the equation #y=(x+2)sqrt(x-1)#. show that #dy/dx=(kx)/(sqrt(x-1))#, where k is a contant and state the value of k.?
- The derivative of tan x with respect to x is ?
- How to find the sum of this series?
- Why does a Gaussian wave packet take on the minimum value of the Heisenberg Uncertainty Principle?
- What is the evaluation of the following of Integral?: #int1/(cos3x-cosx)dx#
- How do you do this?
- Show that -3e^2t+7te^2t is a particular solution to the initial value problem y’’ -4y’ +4y=0. y(0)=-3,y’(0)=1?
- What does this graph look like?
- How do you evaluate for x?
- Is #f(x) =(x+4)^3/(x^2/3+1)# concave or convex at #x=8#?
- What is the value if we substitute infinite to (-1/c)*x*e^(-cx)? Help me please..
- There is a square pyramid with its vertex on bottom. Its base is #12# #meters# on each side. Its height is #4# #meters#. It is being filled with water at a rate of #9# #m^3#/#min#. How fast is the depth of the water growing when the depth is #2# #meters#?
- #int_1^oo (2tln(t))/(1+t^2)^2 dt# can someone help me to find the solutions ?
- What will be the differentiation of it?
- #int_0^1 (x^3+x+1)/(x^2+2)^2 dx #?
- What is #int_1^4(.2x^3-2x+4)dx# ?
- A graph is said to be _ if the tangent line lies _ the curve?
- A soda can is to hold 12 fluid ounces. Find the dimensions that will minimize the amount of material used in its construction, assuming the thickness of the material is uniform?
- How do you calculate #int_-1^1x^2dx# ?
- Lim h-0 h/e^h-1 ?
- What is the derivative of sec^3(2x)-3sec(2x)?
- Find the derivative of f(x)=xcoshx+7sinhx?
- Integration of sqrt 1+x^4 dx=?
- The value is=?
- What is the derivative of f(x)=6x ln(2x)-6x?
- Shell/disk method help:( Can someone please help me with this? I do not understand how to get the bounds and do the problem. please give an example and explanation.
- If #int 1/(x^22(x^7-6)) dx = A { ln(k)^6 + 9k^2 -2k^3 - 18k} +c# What is the value of 'A' and 'k'?
- True or false statement?
- Can some one help on how to do this please? "shell method about y axis
- How do i find the limit and the convergence area for #sum(x/(1-x))^n# for #x in RR // {1}# ?
- How to solve this problem? I have no Idea, how can I solve it
- Integration of:#int(sin^8x +cos^8x)/(sin^2xcos^2x) dx# ?
- Integral With absolute value how to solve it?
- What is the derivative of #y=x/(5-3x)#?
- What is the derivative of #y=6(sec(x)-tan(x))^(3/2)#?
- Limx→∞x+1x2−1?
- Can I get some help writing the statement? Thanks!
- For each given graph of f(x),sketch a graph of A(x), the area under function f(x)?
- How do you evaluate the limit (sin^2(3x)/(sin(x^2)) as x approaches 0?
- #y'cos(x)+ysin(x)=1# ??
- Integration of : #int(cosx-cos2x)/(1-cosx) dx# ?
- The integral value=?
- The required point is?
- Suppose that the cubic function f(x)=(x-a)(x-b)(x-c) has three distinct zeroes: a, b, c. Prove that a tangent line drawn at the average of the zeroes a and b intersect the graph of f at the third zero?
- Sand pours from a chute and forms a conical pile whose height is always 2 times the base radius. If the base radius of the pile increases at a rate of 7 feet/hour, find the rate of change of the volume of the conic pile, when the base diameter of the..?
- Lim{h->0} (³√x+h)-(³√x)÷h ???
- By using the substitution y=vx, find the particular solution of the differential equation 2xy (dy/dx)=y^2-x^2 when y=4 and x=2. Express y in terms of x.?
- Find the area bounded by the curve #y=2x^2-6x# and #y=-x^2+9#?
- Maximum and Minimum Problem What are the dimensions of the open box that meets the following specifications? a) has maximum volume b) the base is a rectangle twice as long as it is wide c) you have 2400 square inches of material to use (no waste)
- Lim x approches -1 from let side what is limit 1/(1+x^2)?
- A spherical balloon inflated at a rate of 4pi cm^3/sec. initial volume of balloon 0, how fast is radius expanding after 9 sec (r=0.03m)?
- A spherical balloon inflated at a rate of 4pi cm^3/sec. initial volume of balloon 0, how fast is radius expanding after 9 sec (r=0.03m)?
- How can I write the statement #S_1, S_2, S_3# for this?(see picture) Thanks a lot!
- Find limit when x approaches infinity lim 1/0.1^x?
- How to solve this?
- How do you find dy/dx when x=a(cost+tsint) and y=a(sint-tcost)?
- How to use a power series to find an approximation for a definite integral?
- Integrals with hyperbolic/trigonometric substitutions????
- What is the derivative of tan45.tanx ?
- What would be the second order derivative of the following function? #x^2log|cosx|#
- How to solve this problem step by step with application of integration?
- How can I solve this differential equation? #(3+y+2 y^2 sin^2(x))dx+(x+2xy-y sin(2x))dy=0#
- What is the derivative of sin x^-1 ?
- How do I solve this limits question??
- How to find #lim_(x->oo)1/(|x|+1)# ?
- What is #y^ { \prime } if y = \ln ( x ^ { 2} e ^ { x } )#?
- Evaluate the definite integral #int_2^4(x-3)^3dx# ?
- For an object whose velocity in ft/sec is given by v(t) = −t2 + 4, what is its displacement, in feet, on the interval t = 0 to t = 3 secs?
- What is #int_5^1(f(x)-2)dx#?
- What is #int_7^9f(x)dx# ?
- How do you approach and solve this problem?
- How do I set up the denominator after factoring for this integral? basically, how would you factor the bottom.
- How to determine the equation of the tangent line to #y^3+xy=22# at #(7,2)#?
- Find the upper estimate for the total amount of water that leaked out by using five rectangles? Give your answer with one decimal place.
- Given the values #(7,1.395),(8,1.442),(9,1.482),(10,1.517),(11,1.549),(12,1.576), (13,1.602)#, without constructing interpolation polynomial, how do I estimate the value of the function when #x=8.5# ?
- Log(2x+3) derivative?
- Hello all, Can please someone help me with this question? with plenty or sufficient details please.Any kind of help would be greatly appreciated. Thank you.
- what is limit of #x*log((1+e^x)/((-1)+e^x)))# as #x# approaches infinity ??
- I can't solve this problem. I got confuse by the question. HELP ME?
- What is int_0^1x^4dx?
- How do you integrate sec^2(2x)(1+sin(2x)) dx?
- May I know how to prove the series below converges?Thank you
- Is #f(x) =(x-2)/(x+1)# concave or convex at #x=2#?
- What will be the solution of the mentioned problem??
- How to solve this problem??
- Determine the values of a and b that make f(x) continuous. a=? b=?
- Find the limit #lim_"n→ oo" cosn^3/(2n)- (3n)/(6n+1)#?
- Prove that limit does not exist using epsilon delta proof : #lim_ (x->0) |x|/x# ? Please show the scratch work too.
- Y=logx? Give it's derivation.
- Find an equation of the tangent line to the graph at the given point. (x + 2)^2 + (y − 3^)2 = 37, (−8, 2)?
- Lim x^2 - 2x / x^2 - 5x + 6 ? X=>2
- What is the area of the arch-shaped region?
- How do you simplify #\int \frac { 1} { x \cdot \ln 2} d x#?
- Evaluate integration 1÷(x+1)(x+4)dx ?
- How do I solve #int_0^1sin(x)/(sin(x)+sin(1-x))dx#?
- Can you help me integrate this, its something to do with hyperbolics?
- Differentiate with respect to x 1+1/x² ?
- How much should the student center charge for a cup of coffee in order to maximize revenue?
- How do I show that equation #(5+ln(x))^sqrtx - x^3=0# has a root in interval #[2.2,3]#?
- What is C?
- How do you integrate? int [1/(sen^2x+4senx-5)]dx
- What is C if f(2)=1/3?
- #int cot (x) cos^2 (x) dx#?
- How to solve x when give the derivative?
- Find d y/dx using logarithmic differentiation. #y=(2+x)^9/x, x>0#?
- How do u solve the integral below ?
- Differentiate sin(ax+b)*cos(CX+d)?
- Find derivative of #x^2+2xy+2y^2=1#?
- Partial Fractions?
- What is the value of #i^-39#?
- #int_-2^1(x+1)(x-1)(x+2)dx#?
- How to solve the limit?
- How do you find the #lim_(x to 1) 1/(sqrt (x-3) + sqrt 3)#?
- Integrate the following: #intsqrt(1-y^2) dy# ?
- Help with linear approximations. Can anyone help me out?
- Prove that the curves #x = y^2# and #xy = k# cut at right angles if #8k^2 = 1#?
- We have #f:RR->RR,f(x)=root(3)(x^2+mx+1)#.Which are values of #m# for which the graph of #f# has tangent in every point in #RR#?
- Could you please help with this taylor series?
- How to find dy/dx and d^2y/dx^2 in terms of parameter?
- The taylor series about 0 for the function f(x)=cos (x) ?
- Solve the given integral by substituting. ?
- How do you find the sum of this series?
- Can you Find the limit of the sequence or determine that the limit does not exist for the sequence {n^4/(n^5+1)}?
- What is: ?
- What is the derivative of #f(x)=10/x^2+1#?
- How to do this question?
- Consider the function f(x)=(sin(4x))/x. How do you find an interval for x near zero such that the difference between your conjectured limit and the value of the function is less than 0.01?
- #sin(3x+5)# find differentiate ?
- Find the derivative of the function?
- How do you integrate?
- How do you integrate?
- How do you integrate?
- The solution of #sqrt(x)*y' + (1-2sqrt(x))*sqrt(y)= 0# is #(-2*sqrt(x)-1)*e^-sqrt(x)# ??
- Fro first principle,find the derivative of Y=5x^3+9?
- How do you integrate?
- What's the total arc length of r=3sinθ?
- What is the absolute maximum of y= sqr root 9-x^2 on the interval [-6,6]? Thanks
- How do you find the critical numbers of #s(t)=3t^4 + 12t^3-6t^2#?
- integrate the following: #inte^x[tanx+sec^2x]# ?
- Hi everyone, Use the washer method to find the volume of the solid generated when the region bounded by y equals 3x and y equals x^2 squared is revolved about the x-axis. What would be the Volume of the region?
- What is the integral of (1+x)3^x?
- What is the integral of #(ln(xe^x))/x#?
- Derivative of square root of 3x using product rule?
- How to find the derivative for these equations?
- Question #2e036
- Optimization problem?
- Why for this int (3x^2-x+1)/(x^3-2x^2) we use (A/x)+(B/x^2)+(C/x-2) And for this int (3x^2-x+1)/(x^3-x^2) we use (A/x^2)+(B/x-1) Why the first int we considered case I (fraction partial) and the second one we use case II? Sorry for my english
- How to prove this?
- How to solve it ?
- The area of the region bounded by the curve y=√4-x^2, could you draw the curve?
- #f(x)=(x-sinx)^(1/3); f'(0)=?# How do I solve this ?
- Find dy/dx of x cos y= sin (x+y) ?
- How do I solve this Sigma Problem?
- How do you integrate for partial fractions: ∫arctg²x/x²+1 dx ∫e^√x/√x dx ? thanks! good nights
- Absolute maximum and minimum?
- How to find the x-coordinates?
- A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.8 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall?
- Evaluate the integral with hyperbolic substitution. ?
- For Calculus II, what are the main parts of integration must you have memorized before entering on the first day?
- Does the series converge or diverge? Use the integral test.
- How can i solve this?
- Differentiate log to the base 10 x wrt x ?
- This question 16 could you please help me?
- What is the integral of #(lnx+x^2e^x)/x#?
- Derivative of #e^x-e^-x#?
- Find the dimensions of the rectangle of the maximum perimeter that can be inscribed in the ellipse #x^2+4y^2=8#?
- What is the integral of x(e^x+sin(x^2))?
- Find the point on the line y = 2x-3 that is closest to the origin?
- What’s the indefinite integral of this? #f(x) = (1-sin^2 x)/(sin^2 x)#
- How do i solve this question?
- Limt x→4 5x^2-2x+3 what?
- How do you proof the limit of (x+1)/(x-1) is negative infinity as x approaches 1−?
- Please solve this?
- Evaluate lim(x tends to zero) cosecx-cotx/x?
- How to find the values of a,b and c?
- Evaluate lim(x tends to 1) cosπ/2x/1-x?
- Find the anti-derivative (using substitution)?
- What is the volume of the solid using cylindrical shells of the area enclosed by the curves y=x^(1/3) and y=x^2 rotated about the x-axis?
- A viscous liquid is poured onto a flat surface it forms a circular patch whose area grows at a steady rate of 5cm^2s^-1 find in term of pi (a) the radius of patch 20 sec after pouring has commenced (b) the rate of increase of the radius at this instant?
- What is the derivative ? y= [(6-5x)/(x^2-1)]^2
- Differential of #z=3^sin(3x+7y)# ?
- How do you determine the limit of #lim_{x to +infty} x/sqrt(1+x^2)# and #lim_{x to -infty} x/sqrt(1+x^2)# ?
- How do you find the limit of the sequence: #a_n=(lnn)^5/n^(1/5#?
- Confused about cylindrical shell radius?
- What is the derivative of #f(x) = lnx^3#?
- How to solve ∫ (cos^3x)(sin^5x) dx ?
- What is the derivative of #ln((2x^2 - 3)/(2x^2 + 3))^(1/2)# ?
- Differentiation formula for Cos 2x=?
- Find the limit lim x→0 sin 5x/x+x^3 ?
- How to solve $$\int x^{4} (x^2+x+1)^{1/2}dx $$ ?
- How to find #dy/dx# from #x^2y+3xy^2-x=5#?
- How do I find the integral of a rational function?
- How do you integrate #(x ^ { 2} + 8) ^ { 4} 2x d x#?
- How to integrate? Please help
- Hi ! How do you resolve #y'(t)=ty(t) + 1# and #y(0) =1# without using #erf(x)# please? Thanks!
- What is the limit of(1+(1/x))^5x as x approaches infinity?
- How do you integrate #int 1/sqrt(4x+8sqrtx-24) # using trigonometric substitution?
- Find all the critical points for this function?
- What is the derivative of the function ? y = x √ 2x + 3
- How to find #int((1)/(x-sqrt(x+2)))dx# ?
- If y=e^(√2x) then dy/dx is equal to?
- How to differentiate amd simplify: ln(cosh(ln x) cos(x)) ?
- Find #int_0^(π/2) e^x sin xdx# ?
- What is the equation of the line tangent to the curve x^2 + y^3 = 9 at the point (-1, 2)? I am thrown off because it's no longer a circle. Does it matter?
- Suppose f(x) is even function. if f(x) is continous at a, show f(x) continuous at -a ?
- What is a nonelementary integral?
- What is the convergence (absolute or conditional) of the alternate series: #f(x)=sum_{n=1} ^oo (-1)^n ((n)/(7n^2+3)) # ?
- How to find the equation of the tangent and the normal of this curve?
- What is the Implicit Function Theorem and how do you prove it?
- Find Limit of sqrt (8x^2 + 4x - 8) - sqrt (2x^2 - 3x+1) - sqrt (2x^2 + 4x-3) as x->infinity?
- Let f be a function that is positive and differentiable for all x. Function has 2 properties: 1) f(a+b)=f(a)+f(b)/f(-a)+f(-b), for all a,b Є R 2)f'(0)=-1 Part 1: Find the value of f(0) Part 2: show that f(-x)=1/f(x) ?
- Use the product rule to find the derivative?
- Use the quotient rule to find the derivative?
- Show that #x/2<##f(x)##<##xf'(x)# , #AAx>0# ?
- Siny=sin (a+y)x then proof that dy/dx=sin a /(1-2xcosa+x^2)how?
- Find the derivative of the function?
- What is the integral of x^3 over square rood of 1+x^2 dx by using the substitution u=sinh (x)?
- At what points on the hyperbola #xy=12# is the tangent line parallel to the line #3x+y=0#?
- How do you find the volume generated by revolving about the x-axis the function x + y = 4 and x = 4y − y^2 ?
- What is the derivative of this? y = t^(2) √(t-2)
- Evaluate #lim_(xto0)(e^x-e^(-x))/(e^x+e^(-x))#?
- What is #intsinh(x)cosh(x)dx#?
- Derivation #sqrt(a+2x)#?
- Prove #int_1^3x/(2x-1)^3dx# = 8/25 , Using substitution u = 2x - 1 ?
- FIND #int_. (x^2)ln 5x dx# using IBP (Integration by parts) ?
- Show that #int_1^e(lnx)^2dx# = e - 2 ?
- What is #intxsinh(x)dx#?
- What is #inttanh(2x)dx#?
- How to find the equation of the tangent?
- Find the value of #lim_(xto0)(1-cos(ax))/(1-cos(bx))#?
- How to answer these using intergration ?
- Evaluate #lim _(x ->1) (x^4-1)/(x-1)# ?
- ∫ (4+x)² / (x²+4) please help me solve this? :(
- Use integration by parts to find x^2 ln 5x dx?
- What is the integral of sinh(3x)-cosh(4x)dx?
- #lim_(x->0)tanx#?
- Determine the absolute extreme points for the function on the given interval. #f(x)=4sqrtx-2x,# 0<x<9?
- Consider the function f(x)=x²-3x-4 Evaluate f ′(-2) using the definition of the derivative?
- A conical tank has a circular base with radius 5 ft and height 12 ft. If water is flowing out of the tank at a rate of 3 ft^3/min, how fast is the height of the water changing when the height is 7 ft?
- #intsinxcos3xdx#?
- How do I find the solution to the following problem using Implicit Differentiation?
- If f(x)=(4x^2tan(x))/(sec(x), how do I find f'(x) and f'(3)?
- Does #lim_(ararr0^+)(1/a^2)+lim_(brarr0-)(-1/b^2)# diverge?
- Higher derivatives of sine form a 4-cycle. Integer powers of #i# form a 4-cycle. What is the connection (if there is one)?
- help with an indefinite integral?
- The radius of a sphere is increasing at the rate of 2 m/sec. find the rate of change of the volume with respect to time when radius is 4m?
- Show that #int_0^1sinx/sqrt(x^2+1)dx<sqrt2-1# ?
- Evaluate the limit. Be sure to show your reasoning. limit as x approaches 0 (sin7x / tan3x) ?
- What is the critical number of h(t)=6t²-t-2?
- Find the equation of tangent at point where the curve y=2e^(-x/3)?
- Find the equation of tangent at point where the curve y=2e^(-x/3) cuts Y-axis?
- What is the derivative of sin^4(tan5x)?
- What is #int cot^2x dx#?
- Use logarithmic differentiation to find y'?
- Find f'' , intervals , and inflection ; please help the following question ?
- Find the extrema ; please help the following question ?
- Find the derivative of y=2tanx+secx-1?
- What is the derivative of #(3x+1)(3x^2+5)#?
- I need help finding the discontinuities in this graph. If I understand correctly, they should include -3, 2, and 4, but I think I'm missing some. Can anyone help?
- What is #int (4+u)/u^3 du#?
- #d(cos^-1 sqrtcosx)/dx# equals ??
- Find the solution to the differential equation dy/dx + y/3 = 0 subject to conditions y(0)= 6?
- What is the integration of #(dx)/(x.sqrt(x^3+4))#??
- How do you verify #lim x->2# of #(3x-5)=1#, using the definition of the limit?
- Lim x−→2 (x^2 − 4) tan(2x − 4) / (x − 2)^2 Find the following limits. Show all steps. If the limit does not exist, explain why not? Not allow to use L’Hospitals rule.
- Find the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with base 6 units and height 4 units?
- A stone is dropped into a still pond sends out a circular ripple who’s radius increases at a constant rate of 2 m/sec. How rapidly is the area enclosed by the ripple increasing at the end of 20 sec?
- A point moves along the curve y= x^2+1 in such way that when x=4 the x-coordinate is increasing at the rate of 5ft/sec at what rate is the y coordinate changing at that time?
- What is the derivative of cosec x ?
- What is the integration of #(xdx)/sqrt(1-x)#??
- Limit Value=?
- What is the Derivative of a×sec^3x?
- Use the limit definition to find the derivative of f(x)=3/sqrtx at the number a, and use it to find the equation of the tangent line to the curve at the point (1,3)?
- Find the points on the curve y=2x^3-9x^2+42 where the tangent like is horizontal?
- Question 21?
- Result of the derivative of #-(cos x)/(sin x)^2# ?
- what is the Derivative of cos^3 (4theta +1) ?
- Differentiate y=3 tan^4 x ?
- What is the following derivative of f(x)=6x^2/3?
- If f(x)=5x(sinx)(cosx), then what does f'(x) equal?
- If f(x)=(4x+5)/(5x+6), how do you find f'(x)?
- How do you differentiate y=(2+sinx)/(x+cosx)?
- How to evaluate the limit of #lim(1/t^2)sin^2(t/2)# when t approaches 0?
- How do I solve this?
- How to get the relative max and min and the inflection point ?
- #lim_(x->0)(sqrt(cosx)-root(3)(cosx))/sin^2x#?
- How do i solve this integral?
- For #y=ln(sec x + tan x)#, what is #y'# and #y''#?
- Using 1st principals solve √x³-x?
- How can i find the value or values of x where the following functions are discontinuous?
- What's the value of the following limit?
- Help with an indefinite integral?
- How do you evaluate #\int \cos 3x \sin ^ { 2} x d x#?
- When will the slope field for the differential equation #dy/dx=(yx^2+xy^2)/(3x+y)# have horizontal segments?
- What is the limite x approaches 0 ((x/(x+1))^x?
- How to solve #lim_(xto0)(ln cotx)^tanx#?
- Integral of (√3/x+2/x²-3/x³)dx?
- A squirrel population grows according to the equation P(t)=2000-1900e^(-0.17t),t in years.the population approaches a limiting value.how long does it take population to reach 90% of this limiting value?
- Use the second derivative test to find the maximum and minimum points of f(x) = 2x^3+15x^2-36x. Help!? Help!?
- A cylindrical tank is 3 meters in diameter and 6 meters tall. Water is allowed to drain out of a hole at the bottom. The flow rate is proportional to the square root of d, and to square root of V. What is an appropriate differential equation?
- What is equal ? #lim_(y->x)(sin^2y -sin^2x )/(y^2-x^2)= #
- How do you use a linear approximation to estimate sin(35) degrees?
- What is equal ? #lim_(x->pi/2)sin(cosx)/(cos^2(x/2) -sin^2(x/2) )= ?#
- Show d/dx (cot x)=-(cosec x)^2.?
- Find f'' , intervals , and inflection ; please help the following question ?
- I want to know how to integrate Sin(2x)*Sin(5x)dx?
- What is the taylor series of #cos^2(x)#?
- What is #(f(x+h) - f(x))/h# when #f(x) = x^2+9x-3#?
- #lim_(n->oo)(Sin n+cos n)^n# Find the value? Thanks
- Population y grows according to the equation dy/dx=ky, where k is constant and t is measured in years. If the population doubles every 10 years, then what is the value of k?
- How to calculate the limit of #((1+x)^{x}-1)^x# when #x->+0# ?
- #Psi(x,t) = sqrt(1/L)sin((pix)/L) e^-(iomega_1t ) + sqrt(1/L)sin((2pix)/L) e^-(iomega_2t )#new question?
- The curve C has equation y = -x^3 +2x^2 +8x. the curve crosses the x-axis at the origin O and at points A and B. (see question? below)
- Is there a rule that states that, for a decreasing sequence, the sum to n is less than n times the first term (#Sn <= n*u1#)?
- How do I show that the sum of a convergent geometrical series 1+r+r^2+... > 1/2?
- How do I derive the answer using the chain rule/other rules here?
- Is okay to distribute the e^(-x) in this case or is that just more work than expected?
- What is the antiderivative of the following function? y=1/(3^× + 1)
- #psi_A(x,0) = sqrt(1/6)phi_0(x) + sqrt(1/3)phi_1(x) + sqrt(1/2)phi_2(x)#? More questions
- Can you plz Differentiate y=sin squared(X+1)?
- Differentiate sin²(2x+3) with respect to x?
- The curve with equation #y = h(x)# passes through the point #(4, 19)#. Given that #h'(x) = 15xsqrtx-40/sqrtx#, find #h(x)#?
- Integrate (5-3sqrtx)^2 dx?
- What is derivative of √arcsinβ ?
- #psi_A(x,0) = sqrt(1/6)phi_0(x) + sqrt(1/3)phi_1(x) + sqrt(1/2)phi_2(x)# Calculate the expectation value #<E># at any later time t=#t_1#, #phi_n# are energy eigenfunctions of the infinite potential well .Write the answer in terms of #E_0#?
- How to solve this problem step by step with application of integration?
- Find the differential of y in the function: y=(x^2-4)/(x-3) ?
- Find the differential of y in the function: y=x^3cosx ?
- How to solve this problem step by step with application of integration?
- Use the method of cylindrical shells to find the volume generated y rotating the region bounded by the given curves about the x-axis?
- Evaluate the improper integral #int_3^4 1/(x-3)^3 dx# ?
- Where does the curve x^2+4xy+16y^2=27 have horizontal tangents?
- Integration of (tanx/(1+tanx+tan^2x))?
- Find limits as x approaches positive and negative infinity of function f(x)= 4x^3 -x^4 ?
- #f'(x_0)=0?# See below.
- Question #2db64
- How do you integrate #\int \frac { x ^ { 2} - 1} { 4x ^ { 2} + 6x + 9}#?
- #inttanx/(1-sinx)#?
- How to find result of diff of #y=xsqrt(1-x^2)-arccos x#?
- Integeration of u^3/1+u ?
- Calculate the approximate value of ∫x^3 dx from 0 to 6 by taking 6 subintervals of equal length and applying Simpson's rule?
- #int1/(x^2+3)^3dx#?
- How do you find #\int ( 13- x ) d x#?
- What is #(dy)/(dx)# of #sqrt(y/x)+sqrt(x/y)=sqrta???#
- What is the derivative of the following funct ion? (1) y=4sin^-1(3×) (2) y=ln(5×+sin^-1(×) (3) y=3cos(sin^-1(2×+3))
- How to solve this limit #\lim_{x\to pi/4} (sin2x)^(tan^2(2x)) # ?
- Check if the given function satisfies the three hypotheses of the Rolle’s Theorem. If Rolle’sTheorem applies, find all the values that satisfy the conclusion of Rolle’s Theorem. If it does not apply, state why?I hope the picture is clear and I need help
- Use the graph of f below to classify the following extreme values. I hope the picture is clear and help, please?
- Find critical numbers and absolute extrema I hope the picture is clear and I need help?
- Find critical numbers and absolute extrema I hope the picture is clear and I need help?
- Integrate tan x sec^2 x .dx?
- What is the logarithmic differentiation to evaluate for f(x)=(x)^ln(3) ?
- What would be the interval of decrease for this exponential function? f(x)=2^x
- Differentiate f(x)= 3^(sin(x) + cos(x))? Show steps
- What's the value of the following limit?
- Integrate? S10/√(2+√x)dx
- How do you Differentiate y = x^2(1-x^3)/(1+x)^3 ?
- If F(x)=the integration from 0 to x of square root of (t^3 + 1)dt then what is F'(2)?
- The function y=sin x + cos x is a solution to which differential equation a. Y+dy/dx =2sinx, b. Y+dy/dx=2cosx or c. dy/dx-y=-2sinx?
- Question #e882e
- How to resolve #lim_(x to oo)root(4)x e^(-2x)#???
- The curve described parametrically by #x=t^2+t+1#, and #y=t^2-t+1# represents?
- How can I differentiate the function?
- Why #lim_(x->oo) (sqrt(4x^2+x-1)-sqrt(x^2-7x+3)) = lim_(x->oo) (3x^2+8x-4)/(2x+...+x+...)=oo#?
- Prove that (x-a)^2+(y-b)^2=c^2. [1+(dy/dx)^2]^3/2 ---------------- [d^2y/dx^2] Is a constant a and b?
- How do I solve this?
- Question #55487
- What is #intcos^2(x)sin(x)dx#?
- What is the limit as #x -> ∞# of #(x^2 + 2) / (x^3 - 1)#?
- Question #54489
- What is the derivative of #x^n#?
- Question #528d1
- Question #9a579
- Question #68c84
- Question #c82fe
- For each point of discontinuity, determine whether f has a limit. If it does, find it. If it doesn’t, explain why?
- Question #88d66
- What is a rational function?
- Question #1092f
- If y=f(x)= sec x, what is the derivative of the function?
- Let f be given by the formula?
- Let h(x)=f(x)*g(x), and k(x)=f(x)/g(x). Use the figures below to find the exact values of the indicated derivatives? h'(-1) and k'(1)?
- Find the equation of the tangent line to the curve y=2sin(x) when x=π/3?
- Can you prove integral?
- Derivative of f(x) = 3/x using limit definition of derivative?
- Calculate the length of the curve? #x = cos(t)+sin(t), y=cos(t)-sin(t)#
- What is the right answer?
- What is the answer ?
- Derivative of x/sinx using first principle?
- Integrate? t2tdt
- Integrate the following? lnx/x^2 dx
- Question #2d21d
- For what value(s)?
- How do I find the equation of the tangent line to the curve at the given point, (2, -4)? y=4x-3x^2.
- Sum from n=1 to ∞ of (-1)^n(sin(7π/n)) is the series convergent or divergent?
- Question #dd099
- What is the limit of #((1-x)/(1+x))^(1/x)# as #x# approaches #0#?
- How would you integrate #int_1^e 1/(x sqrt(ln^2x))dx# ?
- Integrate 9/ (4+x^2)????
- Limit as x approaches infinity (x+2)/(x+3)?
- Can someone help me with the rest ? and how to know if there is a relative max o or min ?
- Let f(x)=1/3x^3-5x+3 , find the points on the graph at which the tangent line is horizontal?
- What is the derivative of f(x)=10(5.1)^x+21(0.22)^x+5e^x?
- Determine the following integral dx/√(a²-x²) by trigonometry substitution?
- Determine the following integral dx/√(a²-x²)³ by trigonometry substitution?
- The curve 4x2−2xy+y2=134x2−2xy+y2=13 is a ellipse. Find the equation for the tangent in point [2,1] The answer is y=7x-13 ??
- Let f be a function defined by: ?
- Whats is the solution to the differential equation dy/dx + y = x?
- Question #ad559
- How to show that y=3x+(2A/x) is the general solution of the equation x(dy/dx)+y=6x?
- Differentiate the following functions with respect to x?
- Question #17455
- How do I perform this partial fraction decomposition? [Image attached]
- How do you differentiate y = -3e^-x sec x?
- Lim x>->1[x^2+1/x+100]?
- Use the first principle to find the derivative of the function f(x)=#20-:sqrt(x-1)#?
- Find the limit?
- Lim x->0 sinx csc6x?
- Question #b8bdb
- #lim_(x->oo) (sqrt(3x-5)+sqrt(2x+7))#?
- Question #458e4
- How to find the primitive of #sqrt(x)e^(xsqrt(x))#?
- What is the simplification of the given integral?
- #lim_(x->0)(3^(2+x)-9)/x# Can you please Evaluate this limit ?
- Question #5a865
- What is lim ( x^2 * e^-2x) = ?? x -> -oo
- Show that y= f(x) is a solution for given equations under, please help?
- Solve this 2nd Order Cauchy-Euler non-homogeneous differential Equation by substitution method using (x = e^t) x^2y'' - xy' + y = lnx ?
- 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?
- How do you evaluate?
- Evaluate the improper integral?
- Question #000c1
- How do you find the equations for the tangent to the curve in the point [-1,-2]?
- How do you do this integral ? (1-cos(x/3))/sen(x/2)
- Question #ce8f3
- How do you find y given #dy/dx=2^(-x)# and #y = 1/(2log2# when x=1?
- What is the limit?
- #lim_(x->oo) sqrt(25x^2-9x-6)-5x+3# ?
- Determine an equation of a tangent line to the curve y=-3x+2/x+100 at the point where x=2? thanks
- How do I solve f(x)=((5x^2)+(2x)+2)/(sqrt(x)) for f'(x)?
- Limited x-0(1+nx)1/x=?
- What is the limit of #|x|# as #xrarroo?#
- Given that x+y=xy show that d^2y/dx^2=2(y/x)^3?
- Find the Lim as x goes to 0 (2x/tanx) ?
- Find the antiderivative of f'(x)=3x^3?
- The value of λ+k=?
- Help me! For which values of a is f (x) continuous for all x??
- How do you integrate? dx/sqrt(4x^2-8x-1)
- How do I evaluate the following integral?
- Whats the partial derivative of #f(x,y) = 2x+3e^y#?
- What is the solution to the function using Chain Rule?
- A particle moves along the curve y = 3x^2 + 1 in such a way that the y value is increasing at the rate of 3 units per second. At what rate is x changing when x = 2?
- Solve if y=5sinx+ 3cosx show that y"+ y =0 !?
- How do I set this up to verify?
- Find dy/dx where y=1/4v^4 and v=2/3x^3+5?
- Integral of cos^4(x/4) dx ?
- How do find the gradient of the tangent for this function?
- Value f a=?
- Howcome 1/x^2 equals -2/x^3? According to the calculator I use, it utilizes the power rule...-But how does that work when we have 1/something and not x^something? Thanks ahead for taking the time to assist :)
- How can I prove that the function #f(x) = x^2*(sinx)# returns the value #y# infinity times?
- 1÷sin^4x+cos^4x+sin^2xcos^2x.how will you integrate this?
- Approximate #sum_(n=1)^oo(-1)^n/((3^n)(n!))# correct to four decimal places?
- How to solve this using integration ?
- Let f be a polynomial function such that f (3x)=f '(x) ⋅ f ''(x), for all x belongs to R. Then the correct option is?
- #lim_(x->+oo) (x)^2 (e^(1/(x))-e^(1/(x+1)))# ?
- #sum_(n=1)^oo(n!)^2/((2n)!) # converges ?
- How to show d/dx(tanx)^3=3 (tanx)^4+3(secx)^2-3?
- #(x-y) dy/dx= (x+2y)# ?
- What is the differentiate of -2x/(1+x^2)^2?
- How do we find the limit here? :
- Using the property of derivative differentiate? #root5(x^3)#
- What's the limit of Lim x -> -2 x^3 + 8/ x+2 ? Please help :(
- Question #c7592
- Question #ab616
- How do you integrate this? #int(1/(1+sinx+cosx))dx#
- Question #60d87
- How can I find the points on the curve y = x^4 − 10x^2 + 1 where the tangent line is horizontal?
- Question #24764
- Let f(x)=(x-6)(4x+2) find an equation for the tangent line to the graph of x=12?
- Question #dedf0
- Can anyone help me differentiate this function? y=sec x/ 1+ sec x
- What are the relative extrema of this equation? x^4 - 2x^3
- Find the slope of the tangent line to the graph y=f^-1(x) at the point (-8,2)?
- Can anyone help me differentiate this function?
- If you are given a parametric equation and a function, how would you find which point they meet/cross each other?
- What is lim of x-> 1 for 1/log(x)?
- Find the number a such that the line x = a divides the region bounded by the curves y = x, y = 0, and x = 4 into two regions with equal area. Give your answer correct to 3 decimal places?
- How to calculate: (f/g)'=?
- How to calculate? (f*g) ' ?
- How you calculate this?#sum_(n=1)^oo arctan((n+1)/(n^3+1))#
- Please,someone help to solve the problem?
- What is the integration of 1/x3?
- Q.3.find the integrating factor and solve the exact solution consider the differential equation (e^(x-y)cosy+cosx+2e^(2x-y)dx + (sinx-e^(x-y)siny+3y^2e^-y)dy Q.5. Prove ?
- Maclaurin series for tan inverse (x)?
- How do we denote the nth antiderivative of a function?
- Differentiate the function f(x)=x^(3/2) ?
- Integration of #int e^sin(x) dx#?
- The radius of air bubble is increasing at 0.8cm/s. At what rate the volume is increasing when radius is 2cm?
- How to integrate sin(1-2x)cos(1+2x)?
- Differentiate from the first principle x^2sin(x)?
- The value?
- How do you use substitution to integrate x/sqrt(3x-2), help ?)
- What is a solution to the differential equation xy"+2y'?
- How do you integrate #int_0^1sqrt(1+1/(4x))dx# ?
- Find lim x→∞ h(x), if it exists.?
- The value of 'k' is=?
- D/dx[∫sin(t²)dt from x² to 0]=-sin(x²).This statement is true or false?Please give reasons for your answers.
- Give an example of a function which is not integrable on [0,π].Justify your answer.?
- How to solve limit (ln(e^x+2x))/x^3?
- Why is the integral of e^x * a^x equal to (e^x * a^x / 1 + ln a) + C ?
- Question #c5791
- Can we apply L'Hopital's Rule while computing the following limit?
- Question #89f79
- Is there a difference between an integral and a “primitive function”?
- Integral x^3 e^-3 ?
- What is the differential equation of which #y = (c_1+c_2x)e^x+c_3# is the general solution?
- Let f(x)=(x^4+x^3+x^2+x+1)(x^5+x^3+x+2) find the equation of the line tangent to the curve when x=-1?
- Differentiate with respect to x from the first principle?
- What is the integral of 2xe^x?
- The bottom of a ladder is placed 4 feet from the side of a building. The top of the ladder must be 13 feet off the ground. What is the shortest ladder that will do the job? The base of the building and the ground form a right angle.
- Determine the values of x so that the tangent to the function#y=3(root(3)x)# is parallel to the line #x+16y+3=0#?
- How to solve limit x/e^x without using l'hospital rule?
- How do you differentiate f(x)=(x-x^1/2)/x^1/9?
- Use the a) and b) to prove #hatT_L = e^(LhatD)# #(a)[hatT_L,hatD]=0# #(b)[hatx,hatT_L]=-LhatT_L# ?
- Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)?
- Etermine an equation of the line that is tangent to the graph of f(x) =#sqrt(x+1)# and parallel to #x-6y+4=0#?
- If #hatT_L# is the translation operator ,which acts on a function like this #hatT_Lf(x) = f(x-L)# and #hatx#which acts on #hatxf(x)=xf(x)# then prove #[hatT_L ,hatx]= -LT_L# ? Also how will translation operator act on the fourier transform of #f(x)#
- Differentiate from the first principle the derivative of x^2sinx?
- What is the answer please?
- What will be the limit of the following sequence as n tends to infinity? Will the sequence converge or diverge?
- How to solve #lim_(x->oo) abs(x-1)e^(1/x)# ?
- What is the derivative of this function? I want to check my answer
- How do I solve f'(x) for 3sqrt(t)+(11/sqrt(t))?
- Could someone help to solve d/dx(ln(e^x(x-1/x+1)^3/2)=?
- Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)?
- Question #9cb7b
- Integrate?
- How do I find f'(x) for f(x)=7(x^(4/5))-8(x^(6/7))?
- How do I solve f'(x) for f(x)=7(x^2)+(2/(x^2))?
- What is #(dy)/(dx)#of #xsqrt(1+y)+ysqrt(1+x)=0??#
- How do I find f'(x) of f(t)=9/(t^3)?
- #lim_(x->oo) (2x^2+2x+3)/(x^3+x^2+1)#?
- What is the integraton of Sin(2t)/1-cos(2t) dx ?
- How do i integrate #int (1-x^2)/(4+x^2) dx#?
- How do I solve this... L'Hopitals seems to go in an loop?
- Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)?
- How to integrate dx/(sin(x)+sin(2x)) ?
- How do you find d/dx[f^-1(x)] x=1/2 ?
- How do you integrate dx/(sin2x+tan2x)?
- How to expand in Maclaurin series this? #f(x)=x^n/(n!+(n+1)!)#
- Find dy/dx if y= x^e e^x ?
- How do you find the inflection points of #y=3x+root(5)((x+2)^3)#?
- Question #d48e4
- Derivative of ln{X^2 + 12}/7x ?
- #int1/(x^2-12)#?
- Find the limit using special trig lim: #lim_(xto0)(3x^4)/(sin^2(3x^2))#?
- Evaluate the following limits lim x tends to 0[√3+x – √5-x]/x^2–1?
- Integrate?
- Integrate ?
- Use implicit differentiation to find an equation of the tangent line to the curve at the given point. #x^2 + 2xy − y^2 + x = 51# (5, 7) (hyperbola) ?
- Express the integrands as sum of partial fractions and evaluate the integral. The integral from -1 to 0 of (x^3 dx)/ (x^2-2x+1)?
- Integrate ?
- How do you prove the limit of sqrt (x) = 3 as x approaches 9 using the epsilon-delta definition?
- A piece of wire #26m# long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How much wire should be used for the square in order to minimize the total area?
- Let a&b be real numbers such that lim_"x→0"(sin3x/x^3 + a/x^2 + b)=0?
- Question #128f6
- Question #65a5e
- By the ration test for series convergence or divergence?
- Find the volume of the solid whose base is the region in the first quadrant bounded by y=x^2 y=x2, y=1, and the y-axis and whose cross-sections perpendicular to the y axis are equilateral triangles. Volume = ???
- What is the derivative of the following function?
- I want to integrate #-sin(x)e^(-sin(x))# but get stuck again after using u substitution with #u=-sinx#? Could anyone help me?
- If possible, find a function f such that #grad f = (4x^3+9x^2y^2, 6x^3y+6y^5)#?
- Determine the value of the constant a if the function #f(x)# defined below is continuous at #x=2#. #f(x)={(ax^2+7x; x≤2),(3x^2+3a; x>2):}# ?
- Question #b6da0
- Find a vector function, #r(t)#, that represents the curve of intersection of the two surfaces. The cylinder #x^2 + y^2 = 81# and the surface #z = xy#?
- Question #3a400
- Dy/dx = root (y-x) ? )
- Use logarithmic differentiation to find dy/dx if y= sqrt of(x^3-1)(x^3+2)?
- What is #dy/dx# of #2xsqrtx#?
- What is f'(x) of x+sinx÷xcos?
- Integral of sqrt(x+2)/(x+1) dx?
- For what values of x is dy/dx zero and undefined?
- Question #69feb
- Give the value of Tan 3pi÷2?
- Integration of #sin^(4)2xcos2xdx#?
- What is the significance of partial derivative? Give an example and help me to understand in brief.
- How do you find the constants a and b?
- How do find the derivative using first principles formula?
- Question #17db1
- Let the function f:RR²→RR be defined as f(x,y)={xy(x²-y²)/x²+y², (x,y)≠(0,0) {0, (x,y)=(0,0) Show that (i)f_x(0,y)=y,for all y (ii)f_x(x,0)=x,for all x. Hence verify that f_xy(0,0)≠f_yx(0,0).?
- Question #ffcc3
- Derivative of 1+logx ????
- How do you find the derivative of cos2x/x ?
- Integral of dx/sqrt(x^2 -2x-8) ?
- How do I solve #lim_(x to 0) (3x^4)/(sin^2(3x^2))#?
- F(z) = z/(z^2 + 1) ;by z = x + jy determine where f'(z) exists and find it?
- Determine the area of the region enclosed by #y=sqrtx# and #y=x^2#?
- From differentiating #xe^x#, how do you deduce #int_0^2xe^x# from that?
- Help with this? Suppose a function f is 26 times differentiable and f^(26)=f. Then, it turns out that f is infinitely differentiable and that for any positive number n, f^(n) equals one of the functions f,f′,f′′,...,f^(25).
- Help with finding the answer?
- How fast is the water level rising when the water is 1 foot deep?
- How quickly is her radius growing (in cm/day) when she can't fit through the circular stall door?
- Calculate: #sum1/(n!+(n+1)!)# ; n from 0 to infinity?
- #f(x)=[2x]sin3pix# and #f'(k^+)=lamdakpi(-1)^k#, where [.] denoted greater integer function and #kinN#, then what is the value of #lambda# ?
- Integrate #cos(t+pi/4)# in #[0,pi/2]#?
- ∫ x^9.Lnx.dx=? Pls Help :)
- How to find the volume of a solid that is enclosed by y=x^(2) and y=x^(1/2), and revolved around x=-6?
- Find the values of a,b,c such that lim_"x→0"ae^(x)-bcosx+ce^(-x)/xsinx=3/2?
- Find the area of the region bounded by #y=2e^x#, #y=e^(2x)# and #x=0#?
- Does the series #sum_{n=1}^oo (5n)^(3n)/(5^n+3)^n# diverge or converge?
- If the roots of ax^2 + bx + c=0 differ by 1, show that they are #(a-b)/(2a)# and #- (a+b)/(2a)# . and prove that #b^2 = a(a+4a)#?
- Let #f:[a,b]->RR^+uu{0}# where #int_0^bf(x)dx=0# then #f(x)=0# on #[a,b]# this sentence true or false ?
- Find the area of the region enclosed by #y=x^2-2x# and #y=3#?
- #f(x)=x/sinx, f'(x)=#?
- Differenciation of 1 devide by Cosx by product rule?
- Given: #f(x) = { (e^(kx) " if " x >= 0), (kx+1 " if " x < 0) :}#. If #f(x)# is infinitely differentiable, then what is the value of #k# ?
- Question #05185
- #lim_(x->1) ((1-sqrt(2-x))/(x-1))#?
- Determine the value of "a" so that the following limit exists? Lim (3x^2+ax+a+3)/x^2+x+2 x->-2
- Question #f8576
- What is the integral of [e^x *(x+1)/(x+2)^2] ?
- Finding limit of #(sqrt(3-x)-2)/(sqrt(2-x)-1)# as x approaches 1?
- A function f(x) is defined by f(x)=x+1,when x less than equal to 1 and f(x)=3-ax^2, when x>1.If f(x) is continuous at point x=1. Then what will be the value of a?
- Can someone explain the chain rule?
- Question #86037
- Use t=5x+4 to write the parametric equations that can represent y=30x+29?
- F(x)=(x+3)^2 find c so that f’(c)=0?
- How do you find dy/dx in terms of x and y if (x^3)y-x-2y-6=0?
- For the derivative of 6 x^{7} + 3 x^{6} + 6 x^{5}, what is the value of the coefficient of x^{6}?
- What is the limit of 1/(sqrt(x)) as it goes to infinity?
- If y= 1/2 sec^2x prove that (d^y/dx^2)=4y(3y-1) ?
- Question #09d6e
- Integrate (1)/(sinx +4cosx)dx?
- Which of the following statements are true or false?Please give reasons for your answers. (i)The derivative of quotient of two functions is equal to the quotient of derivatives of two functions.
- #lim_(x->0)(e^x-1)/sin(2x)=# ?
- Find derivative w.r.t (x) f(x)=(a-b)(a+b)?
- Question #7f767
- Question #6ad83
- If z=e^(xy^2),x=tcost,y=tsint,compute dz/dt at t=π/2?
- How do you implicit differentiate this? #(xy)^2 + x^3y^2=3y#
- Evaluate lim x—>infinity. x/(sqrt(x^2 - +1) ?
- Evaluate the following integral:(i)∫dx/√x-x² from 1/4 to 1/2?
- Question #c229d
- Help! Max and Min?
- Let #F(x)=int_(0)^xsqrt(1+t^2)dt# how to find #F'(x)#?
- Question #85a7a
- Evaluate the following definite integral ?
- How do I find a general formula for #f^(n)(x)# if #f(x)=x^-4#?
- Integratio of Cos⁴xdx ?
- #lim_(xto4)(3-sqrt(5+x))/(1-sqrt(5-x))# what will be the answer?
- Question #caf2c
- "bx^2+2axy+hy^2=1" find double derivative ?
- What are the inflection points for f(x)= x (6-x) ^ 2/3 ?? 1. 3.6, 6 2. 3.6, 7.2 3. 6, 7.2 4. 3.6
- How do i find the limit as x approaches to infinity of #x^sin(1/x)# ?
- Can you please solve these questions involving integrals? Thanks.
- How to solve #int_(-pi/3)^(pi/3)# #(|x| + tan x)^2# dx ?
- Question #0da5c
- How do i solve part (b) of this question?
- Please can anyone help me integrate sec^nx with step-by-step formular?
- Find #P'(t)# for #P(t) = 1/3(t^3 - 7t^2 + 6t +150)#?
- #int(4x^2-x+12)/(x^3+4x)dx#?
- Find the derivative of 1/ax^2+b, with respect to x?
- Integral of sin(7x)cos(4x)dx?
- How do you find the derivative of (-2)/(x(ln x)^3). ?
- How do I find the equation to the tangent linf of f(x)=1+sinx/1-sinx at (pi,1)?
- Question #c8fd3
- How do i integrate this?
- Find the points on the graph of the function that are closest to the given point. f(x) = x^2, (0, 4)?
- How quickly is the volume increasing when the radius is 6 cm?
- Find dy/dt and d2y/dx2 in terms of t , given x = 5 cos t and y = 4sint ?
- Find the derivative of f(x)= (x)/(x^2-1)?
- Would you help me? #int_0^(pi/2)(e^(2x)*sinx)dx#
- Find #k# such that #y=sin(kt)# satisfies #y’’+16y=0#?
- How do you solve this integral using partial fractions?
- What is it limit as #xrarr9#? #sqrtr/((r-9)^4)#
- Lim (x-pi/2)sin(pi/x) as x goes to +infinity?
- Find the indefinite integral. (Note: Solve by the simplest method—not all require integration by parts. Use C for the constant of integration.)?
- How do you find #lim_(x->0^+)(x+sinx)^(tanx)# ?
- Integral og dx/2x-x^2?
- Darivative of tan x raise to sin x?
- Differentiate y=x^n using first principle?
- Differentiate y=a^xusing first principle?
- Question #16cc0
- Question #e2a9c
- How do you find local min and max for f(x) = −x^4 − x^2?
- Can someone explain why this happens?
- Limit x tends to 0 . Cos4x - cos3x / x ?
- #int\ e^(-7x)*cos(2x)dx =# ?
- Please help me with the following question plus if it's possible picture demonstration will be easier for me to understand! ?
- What is the differentiation of (-1)?
- 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?
- Can you please help me with the following question in the screenshot?
- How do you find the Taylor series of #f(x)=e^(x/2)# centered around #a=-1# ?
- Can you please help with the following question with a picture demo??
- Integral of sin2xcos2x/root (9-cos^4 (2x) dx?
- How can I find the limit of sqrt(1+x^2)-1/ln(2+x^2) as x approaches 0?
- What is derivative of (sinx)^tanhx? If you help me, i am very grateful thanks...
- Differentiate y=sinx squared using first principle?
- What are the pointsof inflection of #f(x)=x^2 - (27/x^2)#?
- Question #54a40
- #lim_(n->oo)(9*9^(1/3)*9^(1/9)*9^(1/27)*......*9^(1/(3^n))# ?
- #int3e^(3t)dt#?
- Given that #lim_(x->oo)((x^2)/(1+x)-ax-b)#, find the values of #a# and #b# ?
- Question #ec3c9
- Find ∂w/∂u?
- Find the derivative of the function. #(2x-5)^4(x^2+x+1)^5# ?
- A curve is defined by parametric eqn x =t^2 + t - 1 and y = 2t^2 - t + 2 for all t . i) show that A(-1, 5_ lies on curve. ii) find dy/dx. iii) find eqn of tangent to the curve at the pt. A . ?
- What is the gradient of cos (xy) - 3y^4 + 3 at point ( 1, pi/2) ?
- It's a related rate problem. PLease help ?
- Integrate (x^4 +2x^3 -1)/(x+1)(x+2) dx?
- Consider the following function.? f(x) = (x + 3)^2/3
- Please help me find L ??
- Calculate #lim_(x ->x_o) (x^2- x_o x)/(x^2-x_o^2)# for every value of #x_o in RR# ?
- These statements are true or false?Please justify your answer.(i)The function #f(x,y)=(x³y+1,x²+y²)# is locally invertible at#(1,2)#.(ii)The function #f(x,y)=x³+y³# is integrable on #[1,2]×[1,3].#
- How can i do this quiestion? Find the first and second derivatives of the following function: #f(x)=2cos(x)+sin(2x)#
- Question #8bf52
- Question #a0f27
- What is the differential wrt x of 3^x lnx ?
- How to approach and solve this problem?
- What is dy/dx for 7x^3 + 4y = 3y^2 ?
- Question #0b908
- 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# ?
- 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
- Question #adffa
- 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?
- 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?
- 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?
- Question #e8056
- How to find d/dx ?
- Question #a254f
- Help me solve f(x)=7arctan(2sin(3x)), f′(x)=?
- Find the derivative of the function?
- Question #22976
- #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)?
- Question #b9ffc
- 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?
- Question #3dd7c
- Question #0386f
- 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.
- Question #8ec3f
- 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?
- Question #b0faf
- Question #ecc3a
- 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?
- Exists some #x# for which #sum_{k=0}^oo [log(-x)]^-k# converges, and what is the sum?
- Question #e6979
- Question #43b34
- Question #24991
- 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_(x->oo) ((n+2)!+(n+1)!)/((n+2)!+(n+1)!)# ?
- Question #2983a
- Related Rates?
- Question #db59d
- How do you evaluate the integral #int_0^oo x^2e^(-x^3) dx#?
- Question #f2365
- 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)=
- Question #be14e
- 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))?
- Question #9adb8
- Show that the functions #f(x,y)=ln x-ln y # and #g(x,y)=(x^2+2y^2)/(2xy)# are functionally dependent?
- Question #71c06
- 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#?
- Question #92e57
- How to solve for #inte^xcosxdx# ?
- Question #5adef
- Question #59af9
- 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
- Question #1dfad
- Question #32022
- If the tangent to the graph of the function #y = (x- 1)/x# passes through the point #(4, 1)#, then what is the equation of the tangent line?
- If # y=e^(mtan^(-1)x) # show that # (1+x^2)y_(n+1)+(2nx-m)y_n+n(n-1)y_(n-1)=0 #?
- Question #9ddf4
- Integration of #1/(1+x^3)dx#?
- Question #ec169
- 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.?
- Question #a1371
- Question #b171b
- 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: #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# ?
- Question #087c5
- 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?
- Question #3e8a6
- Question #a13e8
- 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#
- Question #52b72
- Differentiate and simply and find the equation. Please read the image and help ?!
- Differentiate and simplify please help ??
- Question #f9641
- 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)} # ?
- Question #fe8cc
- Given #x^3 - x y^2 + y^3 - 1=0# determine the points where #dy/dx = 0# ?
- 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?
- Question #4d69c
- Find two functions f(x) and g(x) such that limx→0 ?
- If a function is continuous at a point, is it true that it is also differentiable at that point?
- How do you find the derivative of the function #R=3W^(2*pi)# at #W=7#?
- Question #75fe5
- Question #ae837
- 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??
- Question #219cb
- Question #35a7e
- 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 ?
- Question #15ada
- Question #a21ee
- 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)?
- Question #bc414
- Implicit Differentiation Question Help?
- Prove that #grad*(vecaxxvecb)=vecb*(gradxxveca)-veca*(gradxxvecb)#?
- Please read and help?! thanks
- Evaluate? lim (5/(t√(1+t))-5/t) t→0
- Question #38190
- Question #8bf64
- Help please... when do we use substitution during limits? please give me an example
- Question #90cf4
- Question #431bc
- Question #b423f
- Find y' ?? Help
- Question #39670
- 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?
- Question #a9222
- Verify that f,defined by f(x)=x^3+4x+1 on [1,5], satisfies Lagrange's mean value theorem.?
- Question #17702
- 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?
- 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#
- Question #615d2
- How do you find the limit (X-> 0) ? thank you
- Question #1918f
- Question #e3acd
- Question #faa4a
- 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 ______?
- Question #cac56
- 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?
- Question #c16ad
- 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).?
- Question #6a10c
- Question #88c92
- What is the integration of #sec^2 x cos^2 (2x) dx#?
- How to calculate this? #int_0^1 log(1-x)/xdx#
- Question #49f9e
- 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: ?
- Question #91c37
- 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#
- Question #1299f
- 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# ?
- Question #6f1e7
- Evaluate the limit #\lim_{x\rightarrow 0^+}(1/tan(x))^{1/ln(x)}#?
- Question #8eb4c
- Find the upper and lower estimates for the temperature? The given values are attached as a picture! Thanks.
- Question #da389
- Question #9d0c5
- Find #dy/dx# of #y=(5-x)^3(4+x)^5#?
- Question #c0b80
- 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#
- Question #0afd0
- 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)?
- Question #494b1
- What are the values of a and b if f(x)=ax^2+b/x^3 has extreme value at (3,2)?
- Question #f550a
- 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?
- Question #eb58b
- 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?
- Question #5f945
- How to find area of the function: f(x)=e^3, g(x)=x^3 , x=0 and x=1?
- Question #e30a7
- Question #57a66
- Question #d90f5
- Question #5f3d4
- Question #3d2b8
- 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).
- Question #c5d8d
- 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
- Question #76e72
- 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.?
- Question #f6379
- Question #8ab4d
- How do we find the derivative of #sinxcos^2 2x#?
- What will be the value of this? Integration secxd(sec x)
- Derivative of #x^5(3-6x^-9)#?
- How to show #f(x)=|x|# It is differentiable everywhere except at the point x = 0 ?
- Question #99a0a
- Help with Limits! This is my first time using this site? Limit is x->0
- #(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. ?
- 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)#?
- Question #aa983
- #int_2^3 (2x+1)/(x^3 - 5x^2 + 4x)dx#?
- Find # int tan^8x sec^4x dx #?
- 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.
- Question #1f6f1
- 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)
- Question #41558
- Question #b5f82
- Question #426b2
- What is the limit?
- Question #ba71a
- 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?
- Question #f5f35
- Question #f3eb0
- Calculate # lim_(x rarr 0)x/(sin3x) =1/3 #?
- What would the f' and f" graphs look like?
- Question #1214f
- Question #d1bd0
- What is the derivative of #x^2+y^2#?
- Question #7c8b2
- Definite integral #int_0^(pi/8)cos^2(2x)dx# ?
- Question #161a5
- 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?
- Question #74d89
- Question #e10c9
- What is #\int ( 4x ^ { 3} + \cos x ) d x#?
- Use geometry to evaluate the integral?
- Question #bfe81
- Question #7b340
- What is the definition of inflection point? Or is it just not standarized like #0 in NN#?
- Question #d61d7
- 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?
- Question #db211
- #int(1-x^2)^(3/2)/x^6dx# ?
- Question #37d69
- 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?
- Question #bb2ac
- Question #42f36
- 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?
- How do you find a linear approximation to #root(4)(84)# ?
- I really need help with the following question?
- Find #sum_(n=1)^oo n^2/3^n = # ?
- Question #0d352
- Question #59f5a
- Question #b4be4
- Test series for convergence/divergence. #sum3^n/(4^n+5^n)#?
- Question #b7ba3
- Question #b37dd
- Question #b48b9
- Differentiate function y=(1-2x^2)?
- Question #ac40e
- 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#?
- Question #042d9
- 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?
- Question #396f2
- Question #a8319
- Question #297cb
- How do you test this series converge or diverge using integral test ?
- What is the limit?
- Question #0321b
- Area between curves?
- For what values of x is # f(x) = -x^3-9x # concave or convex?
- How do you differentiate #y^5-xcosy+y^3/x=11#?
- Question #6c32c
- I was not able to type the question but please help me with this ??
- Differentiate and simplify ??
- Question #65d62
- If #f(x)=ln(x^(cosx))#, then find #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?
- Question #cc519
- How do you evaluate #\int 5( 4- 3x ) ^ { 6} d x#?
- Question #05248
- Does #sum_(n=2)^oo1/(nln(n))# converges ?
- What is the derivative of #f(x) = 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?
- Question #216f6
- Question #9079e
- Area between curves: which function do you subtract?
- Question #adef5
- 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#?
- Question #a8f2b
- 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?!
- Question #bf5fe
- (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
- Question #40e33
- 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?
- Question #9157d
- 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?
- 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?
- Question #f4b90
- Whatb is differentiation of e^ax^2+b...?
- What is #lim_(x->oo) (e^x-1)/x# ?
- Question #4bead
- 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))#?
- Question #2d331
- Evaluate? #lim/(xrarr0)#(#1/(tsqrt(1+t))-1/t#)
- 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# ?
- 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.
- Question #96981
- 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?
- Question #633a8
- Question #8da62
- Question #da685
- Question #75541
- 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?
- Question #1f099
- Question #fcfb5
- 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)#?
- Question #9ca46
- 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?
- 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?
- Calculate #lim_(n->oo)sum_(k=1)^n n/(n^2+k^2) =# ?
- If #f(x)=(2x+3)/(3-2x)#, differentiate #y=sin(logf(x))# using chain rule?
- Question #11e5e
- Question #829b0
- How do you find the implicit differentiation of sqrt(x/y) = 10x?
- Question #846f7
- 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?
- Question #3721e
- Question #c842e
- What is the antiderivative of 3^x dx?
- What is the antiderivative of (4)/sq.rt.(9 - x^2) dx?
- If #(dx)/(dy)=u# and #(du)/(dy)=v#, what is #(d^2y)/(dx^2)#?
- Question #da94a
- #int_0^50(x-abs(x))dx# how do I solve this?
- Question #a9d75
- 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?
- Question #94093
- Question #e4a64
- Question #8fab4
- Question #86860
- 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#?
- Question #31447
- 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?
- 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.
- Question #7ae0c
- Question #7552e
- Question #af75a
- 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?
- Find # int 1/(x^2+2x+10)^2 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] ?
- Question #6cffa
- 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)#?
- Question #9e48a
- Find the value of k so that f(x) is continuous for all positive numbers?
- 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??
- Question #12b46
- 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#?
- #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?
- Question #14a63
- What is the maximum volume of a box?
- How do you find the derivative of #4x^3-3x+8# by first principles?
- Question #26eaf