valuate V x F . dS, 4 S here F(x, y, z) = (zy, x²y²z², –yx) and S is the surface of the phere x2 + y? + z² = 25 for y < 4, oriented outward away from e origin, as in the picture to the right. 4.
valuate V x F . dS, 4 S here F(x, y, z) = (zy, x²y²z², –yx) and S is the surface of the phere x2 + y? + z² = 25 for y < 4, oriented outward away from e origin, as in the picture to the right. 4.
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:1
Evaluate
V × F· dS,
4
where F(x, y, z) = (zy, x²y²z², –yx) and S is the surface of the
sphere x? + y?+ z² = 25 for y < 4, oriented outward away from
the origin, as in the picture to the right.
-2
Y
-2
4
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