Evaluate (x2z + y2z)dS where S is part of the plane z = 4 + x + y that lies inside the cylinder x2 + y2 = 4. [Include a diagram of the surface.] Evaluate F-.dS- where F- (x,y,z) = (x2,xy,z)and S is the part of the paraboloid z = x2 y2 below the plane z=1 with upward orientation. [Include diagram of the surface.] Use Stake's Theorem to evaluate F-.dr- where F-(x, y, z) =< xy, 2z, 3y > C is the curve of the intersection of the plane z+x=5 and the cylinder x2 = v2 = 9. Note that C is oriented counterclockwise as viewed from above. Use the Divergence Theorem to evaluate F-. dS where F-(x,y,z) =< x3,y3,z3 > and S is the surface of the solid bounded by the cylinder x2 + y2 = 1 and the planes z=0 and z=2 [include Diagram of the surface]