1. ## Flux Question

Hey guys is it possible if somebody can show me how to solve this question?

Find the flux of the vector field F(x,y,z)=e^(-y)i - yj + xsinzk across sigma with outward orientation where sigma is the portion of the elliptic cylinder r(u,v)=2cosvi +sinvj+uk with 0<=u<=5, 0<=v<=2pi.

Thanks!

2. Originally Posted by jdmwol2ks
Hey guys is it possible if somebody can show me how to solve this question?

Find the flux of the vector field F(x,y,z)=e^(-y)i - yj + xsinzk across sigma with outward orientation where sigma is the portion of the elliptic cylinder r(u,v)=2cosvi +sinvj+uk with 0<=u<=5, 0<=v<=2pi.

Thanks!
I would use the divergence theorem.
Here's a similar exercise : http://www.mathhelpforum.com/math-he...e-theorem.html, actually $\displaystyle \iiint _D div F \ dV$is the flux passing by $\displaystyle D$.
So in your exercise I'd first calculate the divergence of the field $\displaystyle F$ and then chose an appropriate change of variables in order to evaluate $\displaystyle \iiint _{\sigma} dV$.
Here's another thread where the volume of an elliptical cone is calculated. That might really help you here.
http://www.mathhelpforum.com/math-he...lume-cone.html