1. Compute the outward flux I = F . nds for S F(x, y, 2) = (xy + 2xz)2 + (22 + 2) 3 + (zy - 22) k, where S is the boundary surface of the solid bounded by the cylinder x2 + y2 = 4 and the planes z = y - 2 and z = 0. Solution. Inside the cylinder, z = y - 2