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Use the definition of limit to prove the following limit lim x>3 (x^2+4x+1)=2 in epsilon delta? .

What is the derivative of
sin2(x) by first principle? Please note I know the chain rule (and can pretty much get the correct answer through that)

What is an example of long division of polynomials?

How do you find the slope of the secant lines of #f(x) = 2/x + 2# through the points:
(0, f(0)) and (0+h, f(0+h))?

How to solve this integral #int 3/(x+1)^2 sqrt((x1)/(x+1)) \ dx#?

Can you help me with this double integral?

Can you help me with this double integral?

can you help me with this double integral?

What is the next term in the sequence?: 3,6,12,21,33, ...

What is the area between two lines?

#lim_(x>0)sin(1/x)/(sin(1/x))# ?

How to do these question?

How to do this question?

How do you find the area between #y^2=4(x1)# and #y^2=2(x2)#?

How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y^2=8x# and x=2 revolved about the x=4?

How to increase accuracy of trapezoidal and simpson rule in calculus?

Is (3,4),(5,4),(1,3),(4,1),(9,4) a function?

Find the area of the shaded region?

In the expression 6x, x is what?

For what values of x, if any, does #f(x) = 1/(x^22x+1) # have vertical asymptotes?

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] ?

Find initial position via intergration???

For example, f(x) is a multipart which if divided by #x^3+27#, the remainder is #x^22x+7#. If f(x) is divided by #x^23x+9#, the remainder is?

How do you find intercepts, extrema, points of inflections, asymptotes and graph #f(x)=x/sqrt(x^2+7)#?

How do we show that this is true?

How do you determine the limit of #(xpi/2)tan(x)# as x approaches pi/2?

What is the slope of the tangent line of # (x+2y)^2/(e^(xy^2)) =C #, where C is an arbitrary constant, at #(1,1)#?

F(x)=secx tanx/sinx ?

Change the order of integration and evaluate?

Given the function f defined by f(x) =(2x2)/(x^2+x2) for what values of x is f(x) discontinuous?

How do you find the slope of the tangent line at point (2, 1) for #y=(x^2+1)#?

What is the Integral of
y2ye^x with respect to x?

Limit x tends to infinity ((x+1)(x+2)(x+3))^1/3x=?

What is the implicit derivative of #5=x1/(xy^2)#?

How do you find the surface area generated when the curve #y=sqrt(r^2x^2), 0<=x<=a# is rotated about the x axis?

How can integrate this?
#int_∞ ^∞(e ^(4t) ) dt#

Approximate #\int_0^2(1)/(1+x^3)dx# using the Midpoint Rule, given #n=4#?
Please check my work

How do I know if a discontinuity in a function is removable or not?

Calc 2 Problem. Could someone help me understand the "u" notation in this integral?

Consider the function 17x^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 does limit does not exist mean?

#lim_(t>oo) sqrt(t^2+2t+7 ) sqrt(t^22t+5)#=?

Please help me with Lim excercise and explain it as well? Really appreciate!

What is the square root of (12)^2?

Can someone explain the steps 3 and 4 please? Thanks a lot <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?

If #y=(x^3)ln(x^3)# then #dy/dx=#?

What is the derivative of #f(x)=1/(sin^2x+cos^2x)#?

How would I graph x > 2 on a coordinate plane?

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?

Is this true or false? #sin^2(θ) ≠ sin(θ)^2#

A ladder 10ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a speed of 2ft/s, how fast is the angle between the top of the ladder and the wall changing when the angle is #pi/4# rad?

How do you factorise 21xy3x28y+4 ?

What is the opposite of exponential growth?

Does anyone understand this? Find [f ○ (g ○ h)](2) if f(x) = 2x  1, g(x) = 4x, and h(x) = x2+ 1. ??

Why does integration by parts work?

Is it possible to solve this integrate by integrate substitution method?

What is 19 over 25 as a decimal?

Is it possible to solve this integrate by integrate substitution method?

What is the average value of the function f(x)=3x^24 on the [2,6]?

Multiple Choice question: why is the answer B? I would think it's C.

The amount of a certain drug present in a patient's body t days after it has been administered is C(t)=5e^0.2t
Determine the average amount of drug present in the patients body for the first 4 days after drug is administered.
Help?

How to find these type of question easily, without using Lhopitals rule?

What's the integral of #int cos^2(x) tan^3(x) dx#?

What is multivariable calculus?

If csc(ϴ) = 6, find the exact value if sin(2 ϴ)?

Help me to find it please? I am studying for my midterm in real analysis and I got problem in it.

Find value(s) c ∈ (−2, 4) such that f'(c) is parallel to the chord line joining ?

What are the maximum and minimum values of the function #abs(2x3# at closed intervals [1,2]?

What are the maximum and minimum values of the function #abs(2x3# at closed intervals [1,2]?

Limxtends to infinityx/modulus of x..?

How many combinations can you make with the numbers 1,2,3?

Which value of c satisfies the conclusion of the mvt for the function f(x)=7x^2+3x+7 on the interval [3,3]?

What is inverse variation?

Is this right?
∫(dx)²=∫2dx

Is it true that Dividend over Divisor = Quotient + Remainder?

How do you place the inclusion symbols to make the statement #3*4+2#/#6=3# true?

Find the limit?

Can you determine the equation of the tangent line of a point on a function by solely using the function's graph?

How do you find the volume by rotating region R about the xaxis?

I really need help. It's about number theory. Would yo be so kind help me?

How do you find the arc length of the curve #y=xsinx# over the interval [0,pi]?

What is the shortest distance from the point #(3,3)# to the curve #y=(x3)^3#?

Method of substitution is used. Stepbystep 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#?

How do you find the slope of a tangent line to the graph of the function #F(t)= 3 (8/3t)# at point: (2/4, 7/3)?

How do I solve this limit? #lim_(x>0)((1cos^3(3x))/(xsin6x))#

Why does a sum using the difference method need to factorise out common factors?

A series of integral based questions?

Right the equation of least degree given the roots. what is the solution?
x=3,1,5

I have struggles with the last part...?

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?

What can you say about a function f defined on #RR#, periodic and growing ?

Find derivative of the following function?

What is the second derivative of #(f * g)(x)# if f and g are functions such that #f'(x)=g(x)# and #g'(x)=f(x)#?

Which of the following are improper integrals?

What is the slope of the tangent line of # (x^2y^2)/(sqrt(4yx)+xy) =C #, where C is an arbitrary constant, at #(1,1)#?

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