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