6. Use Stokes' Theorem to evaluate S S, curl F . dS, where F(x, y, z) = x2 sinzi + y?j + xyk, where S is the part of the paraboloid z = 1 - x2 - y that lies above the xy-plane, oriented upward. [7 points] 7. Use the Divergence Theorem to calculate S S, F . dS where F(x, y, z) = x2yzi + xy2zj + xyz2k and S is the surface of the box enclosed by the planes x=0, x=a, y=0, y=b, z=0 and z=c where a, b, and c are positive numbers. [7 points]