Find the flux of the vector field F = (-y,x,1) across the cylinder y = 2x², for 0≤x≤ 3, 0≤z≤ 1. Normal vectors point in the general direction of the positive y-axis. Parametrize the surface using 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. SSF. S R (Type exact answers.) F⋅nds=√(1 du dv

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