A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector field for the river is given by =⟨x−y,z+y+2,z2⟩v=⟨◂,▸x−y,z+y+2,z2⟩ and the net is decribed by the equation y=1−x2−z2,y=◂−▸1−x2−z2, y≥0,y≥0, and oriented in the positive y-positive y-direction.

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