SSS of the vector field F = cos(4y +9z)i + 10 ln(x² + 6z)j + 3z² k, where S' is the surface of the region bounded within by the graphs √√64-x² −1², x² + y² = 5, and z = 0. of z = Use the divergence theorem to find the outward flux = F.ndS

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Problem #5:
Use the divergence theorem to find the outward flux
SSF
of the vector field
F = cos(4y +9z)i + 10 ln(x² + 6z)j + 3z² k, where S is the surface of the region bounded within by the graphs
of z = √64-1.²-1², x² + y² = 5, and z = 0.
F.ndS
Transcribed Image Text:Problem #5: Use the divergence theorem to find the outward flux SSF of the vector field F = cos(4y +9z)i + 10 ln(x² + 6z)j + 3z² k, where S is the surface of the region bounded within by the graphs of z = √64-1.²-1², x² + y² = 5, and z = 0. F.ndS
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