Let vector G(vector) be given by

and let V be the volume of a cube of unit length with its corner at the origin, bounded by x = 0 to 1, y = 0 to 1, and z = 0 to 1 (Fig. P9–19). Area A is the surface area of the cube. Perform both integrals of the divergence theorem and verify that they are equal. Show all your work.

FIGURE P9–19

G= 4xz7-y7+ yzk