Answer to Question #221100 in Calculus for ndiser

Question

Let S be the surface of the solid D that is bounded below by the paraboloid z = x 2 + y 2 + 1 and bounded above by the plane z = 5. Use Gauss’ Theorem to determine the flux integral Z S F · n dS, where F (x, y, z) = (xz, 1 − yz, xz).