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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 f (x²¹ − x² − 15y��) dx + (y¹ − y² + 30x²) dy.
Transcribed Image Text: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 f (x²¹ − x² − 15y��) dx + (y¹ − y² + 30x²) dy.
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