Use Divergence Theorem to evaluate ,0²z²i + z²x²j+ x²y²k).ds, 1. where S is the upper part of the sphere x + y + z = 9 above xy- plane.

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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Subject: MMP

Use Divergence Theorem to evaluate [.v²z²i + z²x²j +x²y²k).ds,
1.
243t
where S is the upper part of the sphere x² + y? + z? = 9 above xy- plane.
Ans.
8
%3D
Transcribed Image Text:Use Divergence Theorem to evaluate [.v²z²i + z²x²j +x²y²k).ds, 1. 243t where S is the upper part of the sphere x² + y? + z? = 9 above xy- plane. Ans. 8 %3D
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