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 =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 31E
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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
(x - y, z + y + 7, z?) and the net is decribed by the equation y = V1 – x? – z?, y 2 0, and oriented in the positive y-
V =
direction.
(Use symbolic notation and fractions where needed.)
v • dS =
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 (x - y, z + y + 7, z?) and the net is decribed by the equation y = V1 – x? – z?, y 2 0, and oriented in the positive y- V = direction. (Use symbolic notation and fractions where needed.) v • dS =
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