Ben

Hello. I'm unable to find the nth term of this matrix. I have found A^2, A^3, and A^4 (as well as A^5 to check my general equation). I cannot find the relationship between 6a^2, 10a^3, and 15a^4 (A^3, A^4. A^5), and am very confused. Any help would be appreciated!

1) Find volume of y=sqrt(9-x^2), with bounds y=0, x=0, rotated around x=4

2) Find volume of x^(2/3), with bounds x=1, y=0, rotated around the y-axis

3) Find volume of y=(1/2)x+1, with bounds y=1, x=0, x=4, rotated around x=4

Hey there, I've been having some trouble solving these. Any help would be appreciated.

Find volume of shape:

1. y=sqrt(x), with bounds y=0, x=4, rotated around x axis

2. y=sqrt(16-x^2), with bounds x=0, y=0, rotated around y axis

3. y=x, with bounds x=0, x=6, y=4, rotated around x=6

Hello, I’ve been having some trouble solving this one problem:

Given the graph of 

x=4-y^2,

x=y-2,

Find the shaded area

If x^2+y^2=25, what is d^2x/d^2y at point (3,2)?

Hello there, I've recently started learning about the fundamental theorem and have a few problems I'm not sure I understand how to do. Any help would be appreciated. 

1. Find F(x), if f(x) = ∫ (3t-t^2) dt (Range; top: x, bottom: 3)

2. Find F(x), if f(x) = ∫ sqrt(1-t) dt (Range; top: sin(x), bottom: -1)

I'm having trouble finding the first derivative of these two problems, any help would be much appreciated.

a. 5x^3-3x^5-3tan^6(pi/12)^2

b. (x^2*sqrt(x^3+1))/(x-2)

I'm able to find the first derivative of x^2+y^2=3y, which is -2x/(3-2y).

But I'm pretty confused about how to find y''. I get that you should come to a point where you can substitute in your original function and receive 0, but I don't know how to get there. Any help?