Question

Use divergence theorem to find flux. F(x,y,z)=z^3−y^3+x^3, where t is the sphere x^2 + y^2 + z^2=a^2.​

Answer 1

Answer:

We can approximate the flux across Sr using the divergence theorem as follows: ∬SrF·dS=∭BrdivFdV≈∭BrdivF(P)dV=divF(P)V(Br). and we can consider the divergence at P as measuring the net rate of outward flux per unit volume at P.

Step-by-step explanation:

I hope this helps you.