Use Stokes' theorem to evaluate // V x 7. ds where S is the hemisphere x² + y² + z² = 16, x ≥ 0, oriented frontward. Here F = (yz, x sin(z), xyz²).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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•11. 0ײ.
V x F . ñ ds where S is the hemisphere x² + y² + z² = 16, x ≥ 0, oriented frontward. Here F = (yz, x sin(z), xyz²).
Use Stokes' theorem to evaluate
Transcribed Image Text:•11. 0ײ. V x F . ñ ds where S is the hemisphere x² + y² + z² = 16, x ≥ 0, oriented frontward. Here F = (yz, x sin(z), xyz²). Use Stokes' theorem to evaluate
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