Consider the rectangular box enclosed by the planes x=0, x=3, y=0, y=5, z=0, and z=2. Let S₁ and S₂ be the left and right faces of the box respectively. S₁ If F = (0, 3y -1,0), calculate the following flux integrals (be sure to choose the outward normal). 1. The flux integral of F across S₁ = 2. The flux integral of F across S₂ = 3. The flux integral of F across the rectangular box = (enter numbers; must simplify your answers)
Consider the rectangular box enclosed by the planes x=0, x=3, y=0, y=5, z=0, and z=2. Let S₁ and S₂ be the left and right faces of the box respectively. S₁ If F = (0, 3y -1,0), calculate the following flux integrals (be sure to choose the outward normal). 1. The flux integral of F across S₁ = 2. The flux integral of F across S₂ = 3. The flux integral of F across the rectangular box = (enter numbers; must simplify your answers)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the rectangular box enclosed by the planes x=0, x=3, y=0, y=5, z=0, and z=2. Let S₁ and S₂
be the left and right faces of the box respectively.
S₁
S₂
If F = (0, 3y - 1,0), calculate the following flux integrals (be sure to choose the outward normal).
1. The flux integral of F across S₁ =
2. The flux integral of F across S₂ =
3. The flux integral of F across the rectangular box =
(enter numbers; must simplify your answers)
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