Recent content by madcattle

Homework Statement F= xi + x3y2j + zk C is the boundary of the semi-ellipsoid z=√(4-4x2-y2) in the plane z=0 Homework Equations Stokes theorem states: ∫∫(curlF ° n)dS The Attempt at a Solution I found the curl of the F to be 3x2y2k I found that the dot product of CurlF and n =...

Thanks a lot, that was really helpful.

Homework Statement This is not actually a homework question, just a question I ran into while studying for my math final. When I am using stokes theorem: ∫∫(curlF ° n)dS I have listed in my notes from lecture that there are time when it is applicable to replace dS with an easier...

z=(16-x2).5 Our book says that the formula for area is: ∫∫√(1 + fx2 + fy2)dA Accordingly: A = ∫02 ∫05 ( 1 + 0 + x/(16-x2).5 dydx =∫02 ∫05 ((16-x2 + x2)/((16-x2).5 dydx =4∫02 ∫05 ((1/(16-x2).5 dydx =20∫02 (1/(16-x2).5 dx By this line of reasoning, I think it does wind up equaling what I...

Homework Statement Find the surface area of that portion of the cylinder x2 + y2 = 16 that is above the region in the first quadrant bounded on the graphs of x=0, x=2, y=0, y=5 I know how to solve this via the coordinate system given, but it simplifies to 20∫02 1/(16-x2).5, which means...

Homework Statement Ʃn!(x-1)n I need to find the radius of convergence for this summation from n=0 to n=∞ The Attempt at a Solution I started off with the ratio test: (n!(n+1)(x-1)(x-1)n)/(n!(x-1)n) = (n+1)(x-1) (x-1)lim(n+1)...Now at this point it looks to me like the series does...

Nevermind, I'm really sorry about this. I mistook the book for having written y^m when they really wrote y^´´´. I guess my new problem is poor eyesight. Thanks a lot for the help, I struggled trying to solve this for a solid 40 minutes.

I see that there is a relationship in that y^(m)/m = (my^(m-1) + m(m-1)y^(m-2)...)/(m(m-1)(m-2)...) but I don't actually understand how to apply that relationship at all yet

I'm sorry, our book uses notation so that y^4 is supposed to be the fourth derivative of y. So, for example, y1=y´ and y^2 = y´´

Homework Statement Hey all, this is my first time posting here. I've used your help before, but have not actually ever had to post a question. Thanks for any help you can give, I am excited to finally join the community. I am doing calculus homework and I am having trouble solving this...