1. The problem statement, all variables and given/known data Verify Stokes' Theorem for F(x,y,z)=(3y,4z,-6x) where S is part of the paraboloid z=9-x2-y2 that lies above the xy-plane, oriented upward. 2. Relevant equations Stokes' Theorem is ∫F*ds=∫∫scurl(F)*ds Where curl(F)=∇*F 3. The attempt at a solution I got curl(F)=(-4,6,-3) then I'm not sure what to do. my notes say to parameterize s and then compute the normal vector n, then compute ∫∫curl(F)*n. I'm not sure how to parameterize z=9-x2-y2.