17. Given p(x,y,z) = xyz + 5, find the surface integral of the normal component of grad o over x² + y² + z² = 9.
17. Given p(x,y,z) = xyz + 5, find the surface integral of the normal component of grad o over x² + y² + z² = 9.
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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Number 17 please show steps. Answer is 0.
Transcribed Image Text:closed path consisting
P₂= (0,0,1), P3 = (0,0,0) transversed from P₁ to P₂ to P3, and back to P₁.
17. Given p(x,y,z) = xyz + 5, find the surface integral of the normal component of grad
o over x² + y2 + z² = 9.
18. (a) Show that, if o is harmonic, V: (Vo) = |vo|².
(b)
Given o
=
3x + 2y + 4z, evaluate
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