Evaluate the surface integral ∫∫_S F • n dA by the divergence theorem. Show the details.

F = as in Prob. 13, S the surface of x² + y² ≤ 9, 0 ≤ z ≤ 2

Data from Prob. 13

F = [sin y, cos x, cos z], S, the surface of x² + y² ≤ 4, |z| ≤ 2 (a cylinder and two disks!)