Need someone *REALLY* good at math please!!?

Hello, I really need someone good at math who can solve this problem! Thanks in advance! :





Let C be the ellipse in which the plane 2x + 3y - z = 0 meets the cylinder x^2 + y^2 = 12. Show, without evaluating, either line integral directly, that the circulation of the field F = xi + yj + zk around C in either direction is zero.

Need someone *REALLY* good at math please!!?
Look at Stokes' Theorem which says





∫ Fds = ∫∫ curl F dS





In English it says that the circulation of F around C is equal to the surface integral of the curl F for the surface enclosed by C. In this case the curl F = 0 so





∫∫ 0 dS = 0 no matter what C is





Also when curl F = 0 the vector field is irrotational or conservative. This comes up a lot and it is usually easier to evaluate the surface integral compared to the line integral
Reply:z=2
Reply:hhhhhhhhhhhhhhmmmmmmmmmmmmmmmmmmmmmmmmmm...
Reply:z= 2