Homework Statement
Find the power series representation for the function f(x)=x/(x^2-3x+2) and determine the interval of convergence.
Homework Equations
The Attempt at a Solution
First I separate into partial fractions 2/(x-2) - 1/(x-1)
2/(x-2) = sum n=0 to infinity (x/2)^n...
Homework Statement
(-1)^n/(n)! find the sum from n=0 to n=infinity and do the same for (-1)^n/(2n)! Show all work
Homework Equations
The Attempt at a Solution
First answer is .367876. I just dont know how to expand out (2n)!. I know (n)! is expanded like: 1*1, 1*2, 1*2*3...
Consider the region bounded by the curves y=x^2+1 and y=3-x^2
a) using the disk/washer method, find the volume of the solid obtained by rotating this region about the x axis
This was very straight forward
v=int(1, -1) pi((3-x^2)^2)-(x^2+1)^2))dx
I finished the problem with 32pi/3 which...