Verify Stokes' Theorem, where the surface S is the paraboloid z=0.5(x^2+y^2) bounded by the plane z=2, C is its boundary, and the vector field F=3yi-xzj+yzk.
I really get very confused here.. Really hope any1 can help :'( Tnx!
I'll help you out but you should be able to set up the problem. Can you find a parametric representation of the surface and its boundary? Can you write down the two integrals which the problem asks you to show are equal?