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 byv = (x-y, z + y + 3, z²) and the net is decribed by the equation y = √1-x²-2², y ≥ 0, and oriented in the positive y-direction.(Use symbolic notation and fractions where needed.)

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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 v = (x - y₁z + y + 3,2²) and the net is decribed by the equation y = √1 - x² − z², y ≥ 0, and oriented in the positive y- direction. (Use symbolic notation and fractions where needed.) · ds =