Find the flux of the vector field F = ( -y,x, 1) across the cylinder y = 2x , for 0 SxS 2, 0 Szs 3. Normal vectors point in the general direction of the positive y-axis. . . Parametrizationsing u = x and v = z. Set up the integral that gives the flux as a double integral over a region R in the uv-plane. F . n dS = D du dv S R (Type exact answers.)