Use the Stoke’s theorem to evaluate Z Z S (∇×F)·nˆ·dS where F(x,y, z) = (x^2 z^2,y^2 z^2, xyz) and surface S is part of theparaboloid z = x^2 + y^2 that lies inside the cylinder x^2 + y^2 =4, oriented upwards. Sketch the surface S and label everything.
