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Use Green's Theorem to evaluate fa F. dr where F(x, y) = (y cos x, x² + 2y sin x) and C is the triangle from (0,0) to (2, 6), (2,6) to (2,0), and from (2, 0) back to (0,0). Make sure to check the orientation of the curve before applying Green's Theorem.

Use Green's Theorem to evaluate fa F. dr where F(x, y) = (y cos x, x² + 2y sin x) and C is the triangle from (0,0) to (2, 6), (2,6) to (2,0), and from (2, 0) back to (0,0). Make sure to check the orientation of the curve before applying Green's Theorem.

Algebra & Trigonometry with Analytic Geometry
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 31E
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Use Green's Theorem to evaluate fa F. dr where F(x, y) = (y cos x, x² + 2y sin x) and C is the triangle from (0,0) to (2, 6), (2,6) to (2,0), and from (2, 0) back to (0,0). Make sure to check the orientation of the curve before applying Green's Theorem.
Transcribed Image Text:Use Green's Theorem to evaluate fa F. dr where F(x, y) = (y cos x, x² + 2y sin x) and C is the triangle from (0,0) to (2, 6), (2,6) to (2,0), and from (2, 0) back to (0,0). Make sure to check the orientation of the curve before applying Green's Theorem.
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