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 + 7, z) and the net is decribed by the equation y = V1 - x2 – z?, y > 0, and oriented in the positive y- V = direction. (Use symbolic notation and fractions where needed.) V • dS =

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A:

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