m #6: Use the divergence theorem to find F = tan-¹(4y +82)i + e²²+10 cos xj+ graphs of = √√² + y² and x² + y² + ² = 9. the outward flux SF-nds of the vector field +3² + k, where S is the surface of the region bounded by the

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem #6:
Use the divergence theorem to find the
outward flux
SF-nds of the vector field
F = tan¯¹(4y +82)i + e²²+ 10 cosxj + √√x² + y² +: k, where S is the surface of the region bounded by the
graphs of = √√x² + y²
V.
and x² + y²+:
= 9.
Transcribed Image Text:Problem #6: Use the divergence theorem to find the outward flux SF-nds of the vector field F = tan¯¹(4y +82)i + e²²+ 10 cosxj + √√x² + y² +: k, where S is the surface of the region bounded by the graphs of = √√x² + y² V. and x² + y²+: = 9.
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Step 1: Determine the divF

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