Quiz 7 Calc IV (Math 2443-003) Due 7/25/2001
1. Compute the surface integral
where F(x,y,z) = x i + y j + z4 k
and S is the surface of the cone z =
(with upward orientation) within the cylinder x2 + y2
= 1.
2. Use Stokes' Theorem to compute
where S is the part of the paraboloid z=9-x2-y2 that
lies above the plane z = 5 with upward orientation and F(x,y,z)
= yz i + xz j + xy k.