Let C be the closed curve oriented in the counterclockwise direction, consisting of the line segment from (0,0) to (2,1), the line segment from (2,1) to (-1,1), and the arc of the parabola y x² from (-1,1) to the origin. Use Green's theorem to compute for the value of = fol (x² − x² − 15y²) dx + (y¹ − y² + 30x²) dy.
Let C be the closed curve oriented in the counterclockwise direction, consisting of the line segment from (0,0) to (2,1), the line segment from (2,1) to (-1,1), and the arc of the parabola y x² from (-1,1) to the origin. Use Green's theorem to compute for the value of = fol (x² − x² − 15y²) dx + (y¹ − y² + 30x²) dy.
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 20E
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