Use Green's theorem to evaluate line integral fe²x sin(2y) dx + e2x cos(2y) dy, where C is ellipse 4(x - 5)² + 9(y - 1)² = 36 oriented counterclockwise.

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 34E
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Use Green's theorem to evaluate line integral
$
e2x sin(2y) dx + e2x cos(2y) dy, where C is ellipse 4(x - 5)2 + 9(y - 1)2 = 36 oriented counterclockwise.
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Transcribed Image Text:Use Green's theorem to evaluate line integral $ e2x sin(2y) dx + e2x cos(2y) dy, where C is ellipse 4(x - 5)2 + 9(y - 1)2 = 36 oriented counterclockwise. Additional Materials Reading
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