Suppose Σ is the portion of the parabolic sheet y = x² bounded by -2≤x≤3 and 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 8E
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Suppose Σ is the portion of the parabolic sheet y = x² bounded by -2≤x≤3 and 0<z≤5 with orientation in the negative y direction. If
F(x, y, z) = xî + xyj + yz describes the flow of a fluid, find the rate of flow of F through Σ in the direction of orientation. Assign the result to q7.
Transcribed Image Text:Suppose Σ is the portion of the parabolic sheet y = x² bounded by -2≤x≤3 and 0<z≤5 with orientation in the negative y direction. If F(x, y, z) = xî + xyj + yz describes the flow of a fluid, find the rate of flow of F through Σ in the direction of orientation. Assign the result to q7.
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