4: Use the divergence theorem to find the outward F = cos(2y +7z) i + 7 ln(x² + 6z)j + 3z² k, where S is the surface of the region bounded within by the graphs of z= V √16-x² - y²₁x² + y² = 5, and z = 0. flux SS₂ F F.ndS of the vector field

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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#4:
Use the divergence theorem to find
of the vector field
cos(2y +7z)i + 7 ln(x² + 6z)j + 3z² k, where S is the surface of the region bounded within by the graphs
of z = √16-x
x² − µ², x² + y² = 5, and z = 0.
x²
F
the outward flux
=
FindS
Transcribed Image Text:#4: Use the divergence theorem to find of the vector field cos(2y +7z)i + 7 ln(x² + 6z)j + 3z² k, where S is the surface of the region bounded within by the graphs of z = √16-x x² − µ², x² + y² = 5, and z = 0. x² F the outward flux = FindS
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