4.33. (a) Evaluate f (x+2y) dx + (y-2x) dy around the ellipse C defined by x = 4 cos 0, y = 3 sin 0, 0≤ 0 < 2 Tif C is described in a counterclockwise direction.(b) What is the answer to (a) if C is described in a clockwise direction?

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Answered: 4.33. (a) Evaluate f (x+2y) dx + (y-2x)…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Problem 1RQ

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4.33. (a) Evaluate f (x+2y) dx + (y-2x) dy around the ellipse C defined by x = 4 cos 0, y = 3 sin 0, 0≤ 0 < 2TT if C is described in a counterclockwise direction. (b) What is the answer to (a) if C is described in a clockwise direction?