367 Answered Questions for the topic Calculus 2

Calculus 2


Let f(x) = -x^2+2x-3 Find the average rate of change of the graph of f between x=c and c+h.

Find the average rate of change of the graph of f between x=c and c+h.
Calculus 2


integrate sechsqrt(x) tanhsqrt(x)/sqrt(x)

I'm not quite sure on how I should approach this.
Calculus 2


Consider the curve with equation f(x)=e^-2x^2 for x<0. find the coordinates of the point of inflection and justify that it is a point of inflection

Consider the curve with equation f(x)=e-2x^2 for x<0 Find the coordinates of the point of inflection and justify that it is a point of inflection
Calculus 2


what is the domain and range of the following:

what is the domain of f(x) = 8x − 9 and  f^-1(x) = x+9/8


Find all values of A so that y=sin(Ax) is a solution to ((d^2)y)/(d(x^2))+9y=0, A constant.

calculus question, PLEASE HELP.


Need some help with how I am doing this problem.

Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing device, graph the curve to check your work. x = 2t3 + 3t2 − 12t, y = 2t3 + 3t2 + 3   I think what... more


Find a Cartesian equation for the curve. r cos ? = 7.

I have been trying at my wits end to understand how to approach this problem but I cannot seem to get a correct answer. I think I need to start from scratch with some advice. Thank you!
Calculus 2 Series Infinite Series


Calc 2 Questions

Hi,   We are currently finishing our chapter on Series in class, and I am having a little trouble with the homework, especially these types of problems (error bound problems). I really do not... more


What is the volume of the surface intercepted by x^2+y^2=1 , z=2-|x| , z=0 ?

triple integrals
Calculus 2


Can you help me solve this problem. calc 2 problem. I think im suppose to use trig substitution.......i think.

∫ x/(x2 +1)2 dx   Limits equal ∞ on top and 1 on the bottom
Calculus 2


Evaluate the given limit:

lim x->3 ((x-3)/(sqrt(x) - sqrt(6-x)))   No l'hospital, use derivative limit rules.
Calculus 2 Improper Integrals


One last Calc 2 Question: Improper Integrals

I got all the way through this problem and the answer seemed legitimate, but I did not get the correct answer. Thank you in advance for any help. I really appreciate it.   Find the volume of the... more
Calculus 2


Calc 2 Problem: Improper Integrals

Let R be the region bounded by the graph of y=e^(-ax) and y=e^(-bx) for x is greater than or equal to zero where a>b>0. Find the area of R.    Any help with this would be much appreciated!... more
Calculus 2


Calculus 2 Question

Use partial fraction decomposition to solve the integral.   ∫(4x^2-57x+192)/(x^3-16x^2+64x)   For my answer, I got 3lnx+ln(x-8)+((x-8)^-1)+C   Can anyone see a mistake? It seemed like this... more
Calculus 2


Calculus 2 for Engineers Question

∫ (x^2-4x+4)dx/((12+4x-x^2)^(3/2))   Any help with this integral would be much appreciated. Is partial fraction decomposition necessary here?   Thank you!
Calculus 2


Calc 2 For Engineers Problem in Description

Find the area of the region bounded by the graphs of y=7tanx and y=7secx on the interval [0, pi/4].   I would really appreciate any help with this problem! Thank you so much.
Calculus 2


integrate ((x^2+1)/ (x^4+4))dx

integrate ((x^2+1)/ (x^4+4))dx

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