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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 60E
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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
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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