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 - y, z + y +9, z) and the net is decribed by the equation y = VI-x - z, y 0, and oriented in the positive y- direction. (Use symbolic notation and fractions where needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Attempt 3
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 - y, z + y + 9, z) and the net is decribed by the equation y = VI - x2 - z2, y 2 0, and oriented in the positive y-
direction.
(Use symbolic notation and fractions where needed.)
V. dS =
Transcribed Image Text:Attempt 3 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 - y, z + y + 9, z) and the net is decribed by the equation y = VI - x2 - z2, y 2 0, and oriented in the positive y- direction. (Use symbolic notation and fractions where needed.) V. dS =
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