Calculus IV Practice Quiz 8 Summer 2002 7/24/2002


1. Compute the surface integral  where F(x,y,z) = yi - xj - 2k and S is the surface of the paraboloid z = x2 + y2 (with upward orientation) within the cylinder x2 + y2 = 1.
 
 
 

2. Use Stokes' Theorem to compute  where S is the top half of a sphere of radius 3 centered at the origin with upward orientation and F(x,y,z) = zi + yj - xk.