Use the divergence theorem (multivariable calculus) to evaluate the problems in the attached files.

1. (5 points) Given constants a, b,c > 0, calculate ffSF - dS where F = (2, 1mm) and S is the ellipsoid $2 $12 Z2 E+E+=L oriented outward. 2. (5 points) Calculate ffs F - (18 where F = (mz,x2 + 22,3} | 22) and S is the hemisphere m2+y2+z2= 16, 3/2 0, oriented in the direction of the positive 3; axis. Hint: Use the Diver gence Theorem to replace S by a disk in the x, z plane