Let F = Mi + Nj, where M and N have continuous first partial derivatives in a

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Let F = Mi + Nj, where M and N have continuous first partial derivatives in a simply connected region R. Prove that if C is simple, smooth, and closed, and N_x = M_y, then ∫c F ^. dr = 0.

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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Question Posted: Apr 05, 2023 01:03 AM

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Let F = Mi + Nj, where M and N have continuous first partial derivatives in a

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Calculus

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