# Use Stokes' Theorem to evaluate ∫CF⋅dr where F(x,y,z)=xi+yj+3(x2+y2)k and C is the boundary of the part of the paraboloid where z=36−x2−y2 which lies above the xy-plane and C is oriented counterclockwise when viewed from above.

Question

Use Stokes' Theorem to evaluate ∫CF⋅dr where F(x,y,z)=xi+yj+3(x2+y2)k and C is the boundary of the part of the paraboloid where z=36−x2−y2 which lies above the xy-plane and C is oriented counterclockwise when viewed from above.