Problem #6: Use the divergence theorem to find the outward flux F.nds of the vector field F = tan¹ (5y +82) i + g²² +3005xj + √√x² + y² + z² k₂ where S is the surface of the region bounded by the graphs of = √²+² and x² + y² + ² = 64.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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Problem #6:
Use the divergence theorem to find the outward flux
F.ndS
of
the
Ftan¹(5y +82) i + ²+3 cosxj+
field
²+y² + z² k₂
where S is the surface of the region bounded by the graphs
of = √²+² and x² +3²+² = 64.
vector
Transcribed Image Text:Problem #6: Use the divergence theorem to find the outward flux F.ndS of the Ftan¹(5y +82) i + ²+3 cosxj+ field ²+y² + z² k₂ where S is the surface of the region bounded by the graphs of = √²+² and x² +3²+² = 64. vector
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