1. Use Green's Theorem to evaluate the line integral along the given positively oriented curve. a) [xy²dx + 2x²y dy C is the triangle with vertices (0,0), (2,2), and (2,4) b) [(y + eve) dx + (2x + cos y²) dy C is the boundary of the region enclosed by the parabolas y = x² and x = y² √y ³ y³ dx - x³ dy C is the circle x² + y² = 4 c)

1. Use Green's Theorem to evaluate the line integral along the given positively oriented curve. a) [xy²dx + 2x²y dy C is the triangle with vertices (0,0), (2,2), and (2,4) b) [(y + eve) dx + (2x + cos y²) dy C is the boundary of the region enclosed by the parabolas y = x² and x = y² √y ³ y³ dx - x³ dy C is the circle x² + y² = 4 c)

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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