How do you go about verifying the divergence theorem for a sphere when given a vector function f(x) and the radius r in Cartesian form?

Question

anonymous · Answer

See here for a unit sphere: http://en.wikipedia.org/wiki/Divergence_theorem#Example Should be able to generalize to sphere of radius r.

anonymous · Answer

so the volume integral of the divergence = flux

anonymous · Answer

(div f). dV = f.dS

anonymous · Answer

is the function a radial function?

anonymous · Answer

$$\int\limits_{?}^{?}\int\limits_{?}^{?} A. ds     $$

anonymous · Answer

is it a radial function?

anonymous · Answer

$$A= x^{5} + y ^{5}+z ^{5} $$

Vector

anonymous · Answer

uh oh

anonymous · Answer

how is this a vector fn?

anonymous · Answer

I cnt type a vector with the i, j and k so insert i for x j for y and k for z