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] and nˆ is a unit outer normal vector to S.
Thanks in advance!