Use Green 's Theorem to evaluate the line integral Orient the curve counterclockwise unless otherwse indicated ( oint C 5 y d x 2 x d y ), where (C ) is the triangle with vertices (( 1,0),(1,0) ), and ((0,1) ) THEOREM 1 Green's Theorem Let D be a domain whose boundary 3D is a simple closed curve, o...

We have P5 y and Q2 x therefore fracpartial Qpartial xfracpartial Ppar ...

Use Green's Theorem to evaluate the line integral. Orient the curve counterclockwise unless otherwse indicated. (oint_{C} 5

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

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$\oint_{C} 5 y d x+2 x d y$, where $C$ is the triangle with vertices $(-1,0),(1,0)$, and $(0,1)$

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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. (oint_{C} 5

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

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We have P5 y and Q2 x therefore fracpartial Qpartial xfracpartial Ppar...View the full answer

Calculus

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