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1. Use Green's Theorem to evaluate [F. dr. C (Check the orientation of the curve before applying the theorem) a) F(x, y) = (y cos x - xy sin x, xy + x cos x) C is the triangle from (0,0) to (0,4) to (2,0) to (0,0) b) F(x, y) = (y - cos y, x sin y) C is the circle (x − 3)² + (y + 4)² = 4 oriented clockwise

1. Use Green's Theorem to evaluate [F. dr. C (Check the orientation of the curve before applying the theorem) a) F(x, y) = (y cos x - xy sin x, xy + x cos x) C is the triangle from (0,0) to (0,4) to (2,0) to (0,0) b) F(x, y) = (y - cos y, x sin y) C is the circle (x − 3)² + (y + 4)² = 4 oriented clockwise

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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show full & complete procedure HANDWRITTEN only. Please answer parts a) & b). Note they are subparts of the same question

1. Use Green's Theorem to evaluate [F (Check the orientation of the curve before applying the theorem) F. dr. a) F(x, y) = (y cos x - xy sinx, xy + x cos x) C is the triangle from (0,0) to (0,4) to (2,0) to (0,0) b) F(x, y) = (y - cos y, x sin y) C is the circle (x − 3)² + (y + 4)² = 4 oriented clockwise
Transcribed Image Text:1. Use Green's Theorem to evaluate [F (Check the orientation of the curve before applying the theorem) F. dr. a) F(x, y) = (y cos x - xy sinx, xy + x cos x) C is the triangle from (0,0) to (0,4) to (2,0) to (0,0) b) F(x, y) = (y - cos y, x sin y) C is the circle (x − 3)² + (y + 4)² = 4 oriented clockwise
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