## anonymous 5 years ago Find flux of F=(3xyy, 3xxy, 3zzz) out of sphere R=2. Flux is given by 2^5S(a->b)S(c->d) f(theta,phi) d(theta)d(phi). What is f? No Div Thm.

1. anonymous

Find the flux of F given above out of the sphere of radius 2. "Hint: use spherical coordinates and be mindful of orientation." The flux is given by 2$^{5}$$\int\limits_{a}^{b}$$\int\limits_{c}^{d}$ f($\Theta$,$\Phi$) d$\Theta$d$\Phi$ Find f. (Solve directly; do not use alternative methods to solve such as Divergence Theorem)

2. anonymous

You have to parametrize the sphere, see example 2 here.

3. anonymous