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+7, 2²) 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.) [[¸y - ds =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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 = (x - y, z + y +7,z²) and the net is decribed by the equation y = √1-x²-2², y 20, and oriented in the positive
y-direction.
(Use symbolic notation and fractions where needed.)
1.45-1
yas
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 = (x - y, z + y +7,z²) and the net is decribed by the equation y = √1-x²-2², y 20, and oriented in the positive y-direction. (Use symbolic notation and fractions where needed.) 1.45-1 yas
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