1. The problem statement, all variables and given/known data Find the outward flux of F = <x + z, y + z, xy> through the surface of the paraboloid z = x^2 + y^2, 0 ≤ z ≤ 4, including its top disk. 2. Relevant equations double integral (-P(∂f/∂x) - Q(∂f/∂y) + R)dA where the vector F(x,y) = <P, Q, R> and where z = f(x,y) <-- f(x,y) is the function that undergoes partial differentiaion 3. The attempt at a solution I didn't parametrize. My teacher wanted this method, where sum the surface integrals of two instances: a) when z = x^2 + y^2, and b) z = 4. My final answer was -32pi/3, with the flux at z = 4 being 0. I have a strong feeling I did something wrong but I don't know what. Please help. Any input will be greatly appreciated.