Use Green's Theorem to evaluate the line integral around the given closed curve. C ( 3

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Use Green's Theorem to evaluate the line integral around the given closed curve.

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$\oint_{C} (3 x + 5 y - cos y) d x + x sin y d y$ , where $C$ is any closed curve enclosing a region with area 4 , oriented counterclockwise

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 28, 2024 12:03 AM

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Use Green's Theorem to evaluate the line integral around the given closed curve. C ( 3

Question:

THEOREM 1 Green's Theorem Let D be a domain whose boundary 3D is a simple closed curve, oriented counterclockwise. If F and F have continuous partial deriva- tives in an open region containing D, then Fi f F dx + Fdy = - 16 (f/ 16 (352-351) a dA D

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To evaluate the given line integral using Greens Theorem we need to identify the vector field compon...View the full answer

Calculus

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