1. The problem statement, all variables and given/known data Find the upward flux of F = <x + z, y + z, 5 - x - y>, through the surface of the plane 4x + 2y + z = 8 in the first octant. 2. Relevant equations ∫∫(-P(∂f/∂x) - Q(∂f/∂y) + R)dA where the vector F(x,y) = <P, Q, R>, dA = dxdy and where z = f(x,y) <-- f(x,y) is the function that undergoes partial differentiaion 3. The attempt at a solution F(f(x,y)) = <8 - 3x - 2y, 8 - 4x - y, 5 - x - y> ∂z/∂x = -4, ∂z/∂y = -2 ∫∫(53-21x-11y)dxdy evaluated from x = 0 to x = 2 and y = 0 to y = 4 (shadow on the xy plane of the function 4x + 2y + z = 8) My final answer is 80. The answer is 292/3. What am I doing wrong?