(Solved): Evaluate the flux integral //F.S z = x + y,0 z 4, oriented upwards where S is the su ...

Evaluate the flux integral //F.S z² = x² + y²,0 ? z ? 4, oriented upwards where S is the surface given by and F(x, y, z) = xi+yj + 3k (Hint: There are two ways to do this problem. You may compute the flux integral directly, or you may use the divergence theorem. If you do use the divergence theorem be careful, because S is not a closed surface, and you must take that into account.)