Let v = (5 — 2xyz — xe² cos y, y²z, e² cos y) be the velocity field of a fluid. Compute the flux of v across the surface x + y² + z²: = 1 where x > 0 and the surface is oriented away from the origin. Hint: Use the Divergence Theorem. 4π X
Let v = (5 — 2xyz — xe² cos y, y²z, e² cos y) be the velocity field of a fluid. Compute the flux of v across the surface x + y² + z²: = 1 where x > 0 and the surface is oriented away from the origin. Hint: Use the Divergence Theorem. 4π X
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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The answer is not zero!!! and I have tried 4pi and it doesn't work either... Please help
![Let v = (5 — 2xyz – xe² cos y, y²z, e² cos y) be the velocity field of a fluid. Compute the flux of v across
the surface x + y² + z²
=
1 where x > 0 and the surface is oriented away from the origin.
Hint: Use the Divergence Theorem.
4π
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65ce4946-20f3-402b-8a73-35e62e74d93e%2F26a1a194-b749-4f5b-9704-829f8cc9a8d1%2Fbkpm32j_processed.png&w=3840&q=75)
Transcribed Image Text:Let v = (5 — 2xyz – xe² cos y, y²z, e² cos y) be the velocity field of a fluid. Compute the flux of v across
the surface x + y² + z²
=
1 where x > 0 and the surface is oriented away from the origin.
Hint: Use the Divergence Theorem.
4π
X
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