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Use the divergence theorem to compute the value of flux integral F. dS, where F(x, y, z) = 5yj - 5zk and S consists of the union of paraboloid y = x2 + z?, 0 sys 1, and disk x² + z? s 1, y = 1, oriented outward. What is the flux through just the paraboloid?

Use the divergence theorem to compute the value of flux integral F. dS, where F(x, y, z) = 5yj - 5zk and S consists of the union of paraboloid y = x2 + z?, 0 sys 1, and disk x² + z? s 1, y = 1, oriented outward. What is the flux through just the paraboloid?

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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Use the divergence theorem to compute the value of flux integral F. dS, where F(x, y, z) = 5yj - 5zk and S consists of the union of paraboloid y = x2 + z?, 0 sys 1, and disk x² + z? s 1, y = 1, oriented outward. What is the flux through just the paraboloid?
Transcribed Image Text:Use the divergence theorem to compute the value of flux integral F. dS, where F(x, y, z) = 5yj - 5zk and S consists of the union of paraboloid y = x2 + z?, 0 sys 1, and disk x² + z? s 1, y = 1, oriented outward. What is the flux through just the paraboloid?
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