Use the divergence theorem to find the outward flux Fonds of the vector field F = cos(9y + 10z)i + 9 ln(x² + 3z)j + 4z²k, where S is the surface of the region bounded within by the graphs of √64-²-²,x²+²=7, and = -0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 10RE
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Problem #5:
Use the divergence theorem to find the outward flux
F.ndS
of
the
vector
field
F = cos(9y + 10z)i + 91n(x² + 3z)j + 4z²k, where S
is the surface of the region bounded within by the graphs
of √64-²-², ²+²=7, and 0.
Transcribed Image Text:Problem #5: Use the divergence theorem to find the outward flux F.ndS of the vector field F = cos(9y + 10z)i + 91n(x² + 3z)j + 4z²k, where S is the surface of the region bounded within by the graphs of √64-²-², ²+²=7, and 0.
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