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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?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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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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