### Applications of div, grad, curl: Verification of the divergence theorem on two given surfaces

Verify the divergence theorem (∫∫ (F.n) ds = ∫∫∫ (grad.F) dV) for the following two cases: a. F = er r + ez z and r = i x + j y where s is the surface of the quarter cylinder of radius R and height h shown in the diagram below. b. F = er r^2 and r = i x + j y + k z where s is the surface of th