Hello.

Greetings,

How is the following solved:

In exercises 1-4, use Divergence Theorem to calculate the flux of the given vector field out of the sphere ("sign that looks like &, I am not sure what it is called") with equation x^{2}+ y^{2 }= a^{2 }, where a > 0.

1. F = (x^{2}+ y^{2})i + (y^{2}- z^{2})j + zk

div F = 2x + 2y + 1

I am aware that I’ll need to use the formula for a volume of a sphere:

V = (4/3)πr^{3}

But to calculate this triple integral or flux I might need bounds of integration - how are they found if required?

Sincere regards from user, Kaemper