Let C be the curve of intersection of 2x² + 2y² + z² = 9 with = √² + y², oriented counterclockwise when viewed from above, and let F.dr. F(x, y, z) = (3y, 2yz, r2³ + sin z²). Evaluate
Let C be the curve of intersection of 2x² + 2y² + z² = 9 with = √² + y², oriented counterclockwise when viewed from above, and let F.dr. F(x, y, z) = (3y, 2yz, r2³ + sin z²). Evaluate
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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Hint: Find a simpler surface whose boundary curve is C, and use Stokes’ Theorem.
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