Use the divergence theorem to find the outward flux F ndS of the vector field F = cos(8y + 8z) i + 4 In(x + 8z) j + 5z² k, where S is the surface of the region bounded within by the graphs of z = V16 -x -y , x²+ y? = 8, and z = 0. Enter your answer symbolically, as in these examples

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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#8:
Use the divergence theorem
find the
outward flux
F n dS
of the vector field
to
F = cos(8y + 8z) i + 4 In(x + 8z) j + 5z² k, where S is the surface of the region bounded within by the graphs
V16 – x2 – y² , x² + y? = 8, and z = 0.
of z =
Enter your answer symbolically,
as in these examples
#8:
Transcribed Image Text:#8: Use the divergence theorem find the outward flux F n dS of the vector field to F = cos(8y + 8z) i + 4 In(x + 8z) j + 5z² k, where S is the surface of the region bounded within by the graphs V16 – x2 – y² , x² + y? = 8, and z = 0. of z = Enter your answer symbolically, as in these examples #8:
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