Hi all, I am having real trouble with this problem. If anyone can steer me in the right direction, or better yet, help by showing the solution, I would be much appreciated:

Consider a surfaceS which is that portion of the plane 2x+ 2y+z= 6

included in the first octant.

Evaluate the flux integral∫∫F nˆdA, where the vector field

F= [xy,−x^2 ,x+z] andnˆ is a unit outer normal vector to S.

Thanks in advance!