Use Green's Theorem to evaluate the line integral. Orient the curve counterclockwise unless otherwse indicated. The line

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Use Green's Theorem to evaluate the line integral. Orient the curve counterclockwise unless otherwse indicated.

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The line integral of $\mathbf{F}(x, y)=\left\langle e^{x+y}, e^{x-y}ightangle$ along the curve (oriented clockwise) consisting of the line segments by joining the points $(0,0),(2,2),(4,2),(2,0)$, and back to $(0,0)$

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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 12:00 AM

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Use Green's Theorem to evaluate the line integral. Orient the curve counterclockwise unless otherwse indicated. The line

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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 $o F1 dx + F2 dy 1 (F2-F) da dA = ay 2

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We compute the curl of mathbfFleftlangle exy exyighta...View the full answer

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