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Use the Divergence Theorem to calculate the surface integral F. ds; that is, calculate the flux of F across S. 4 F = | r | r, where r = xi+yj+k, S consists of the hemisphere = = √4x² - y² and the disk x² + y² <4 in the xy-plane. 36π O 34π O 32π О 33л O 35π

Use the Divergence Theorem to calculate the surface integral F. ds; that is, calculate the flux of F across S. 4 F = | r | r, where r = xi+yj+k, S consists of the hemisphere = = √4x² - y² and the disk x² + y² <4 in the xy-plane. 36π O 34π O 32π О 33л O 35π

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the Divergence Theorem to calculate the surface integral ff, F. ds; that is, calculate the flux of F across S. F = | r | r, where r=xi+yj+k, S consists of the hemisphere = √4-²2 - y2 and the disk x² + y² <4 in the xy-plane. 36π O 34π O 32π O 33π O 35π
Transcribed Image Text:Use the Divergence Theorem to calculate the surface integral ff, F. ds; that is, calculate the flux of F across S. F = | r | r, where r=xi+yj+k, S consists of the hemisphere = √4-²2 - y2 and the disk x² + y² <4 in the xy-plane. 36π O 34π O 32π O 33π O 35π
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