Question
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=(r-y,z+y+7,z2) and the net is
decribed by the equation y=1-x2-z2, y20,
and oriented in the positive y- direction.
(Use symbolic notation and fractions
where needed.)
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Transcribed Image Text

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=(r-y,z+y+7,z2) and the net is decribed by the equation y=1-x2-z2, y20, and oriented in the positive y- direction. (Use symbolic notation and fractions where needed.)

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