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9. Let W be the pyramid with top vertex (0, 0, 1), and base vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), and (1,1,0). Let S be the closed boundary surface of W, oriented outward from W. Let F(x, y, z) = (x²y, 3y²z, 9z²x). Use Gauss' theorem to compute F. ds. F.

9. Let W be the pyramid with top vertex (0, 0, 1), and base vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), and (1,1,0). Let S be the closed boundary surface of W, oriented outward from W. Let F(x, y, z) = (x²y, 3y²z, 9z²x). Use Gauss' theorem to compute F. ds. F.

Advanced Engineering Mathematics
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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9. Let W be the pyramid with top vertex (0, 0, 1), and base vertices at (0, 0, 0), (1, 0, 0), (0, 1,0), and (1,1,0). Let S be the closed boundary surface of W, oriented outward from W. Let F. ds. F(x, y, z) = (x²y, 3y²z, 9z²x). Use Gauss' theorem to compute [[F.
Transcribed Image Text:9. Let W be the pyramid with top vertex (0, 0, 1), and base vertices at (0, 0, 0), (1, 0, 0), (0, 1,0), and (1,1,0). Let S be the closed boundary surface of W, oriented outward from W. Let F. ds. F(x, y, z) = (x²y, 3y²z, 9z²x). Use Gauss' theorem to compute [[F.
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