Let S be the upper half of the ellipsoid S = = {(x, y, 2) | 3/6 + ² + 100 = 1, 2 20} 9 with orientation determined by the upward normal. Compute //F S FdS= F. ds where F(x, y, z) = (x³, 0, 0).
Let S be the upper half of the ellipsoid S = = {(x, y, 2) | 3/6 + ² + 100 = 1, 2 20} 9 with orientation determined by the upward normal. Compute //F S FdS= F. ds where F(x, y, z) = (x³, 0, 0).
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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Transcribed Image Text:Let S be the upper half of the ellipsoid
S =
//*
+1 -1.220}
z²
100
1,
{(x, y, 2) | 3/16 + 1/2
5 +
9
with orientation determined by the upward normal. Compute
F. dS=
=
://₁
F. ds where F(x, y, z) = (x³, 0, 0).
S
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