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.