Use the extended divergence theorem to compute the total flux of the vector field F(x, y, z) = (-5x2 + 3xz - y, 6y3 - 6y, 9x2 + 422 - 3x) outward from the region F that lies inside the sphere x2 + y2 + z2 = 25 and outside the solid cylinder x2 + y2 = 4 with top at z = 1 and bottom at z = -1. 52297 X