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A building bounded by the equations-= i-2²-y". z=0 and x=0 is designed to be half a spherical cap. In the building, the velocity of the sound waves is v(æ, Y, 2) = (xz², x²y – 2³, y²z – 1/10). Calculate the flux of the sound for the building using the divergence theorem.

A building bounded by the equations-= i-2²-y". z=0 and x=0 is designed to be half a spherical cap. In the building, the velocity of the sound waves is v(æ, Y, 2) = (xz², x²y – 2³, y²z – 1/10). Calculate the flux of the sound for the building using the divergence theorem.

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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A building bounded by the equations= vi -z² - g*. z=0 and x=0 is designed to be half a spherical cap. In the building, the velocity of the sound waves is v(x, y, z) = (æz², x²y – 2³, y²z – 1/10). Calculate the flux of the sound for the building using the divergence theorem.
Transcribed Image Text:A building bounded by the equations= vi -z² - g*. z=0 and x=0 is designed to be half a spherical cap. In the building, the velocity of the sound waves is v(x, y, z) = (æz², x²y – 2³, y²z – 1/10). Calculate the flux of the sound for the building using the divergence theorem.
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