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Use Green's Theorem to evaluate the integral [(y-x) dx + (2x−y)dy where C is the boundary of the region C lying inside the rectangle bounded by x = -8,x = 8,y=-4, y = 4, and outside the square bounded by x = -1,x= = 1, y = -1, and y = 1.

Use Green's Theorem to evaluate the integral [(y-x) dx + (2x−y)dy where C is the boundary of the region C lying inside the rectangle bounded by x = -8,x = 8,y=-4, y = 4, and outside the square bounded by x = -1,x= = 1, y = -1, and y = 1.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Use Green's Theorem to evaluate the integral [(y-x) dx + (2x − y )dy where C' is the boundary of the region lying inside the rectangle bounded by x = -8,x = 8,y = −4, y = 4, and outside the square bounded by x = -1,x= 1, y = -1, and y = 1.
Transcribed Image Text:Use Green's Theorem to evaluate the integral [(y-x) dx + (2x − y )dy where C' is the boundary of the region lying inside the rectangle bounded by x = -8,x = 8,y = −4, y = 4, and outside the square bounded by x = -1,x= 1, y = -1, and y = 1.
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