WyzAnt.comproof by stokes theorem
use stokes theorem to evaluate F*dR where F(x,y,z)= xyi+x^2j+z^2k and C is the intersection of paraboloid z=x^2+y^2 with plane z=y with counterclockwise orientation looking down the positive z axis...
use stokes theorem to evaluate F*dR where F(x,y,z)= xyi+x^2j+z^2k and C is the intersection of paraboloid z=x^2+y^2 with plane z=y with counterclockwise orientation looking down the positive z axis...