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Calc III Ch15 Notes_Part12

Calc III Ch15 Notes_Part12 - Theorem Let F(x y z 2 Mi Nj Pk...

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Unformatted text preview: Theorem: Let F(x, y, z) 2 Mi + Nj +Pk have continuous firstlpaitials in an open connected region R, and let C be a piecewise smooth curve in R. The following conditions are equivalent. 1' F [5 foflgflV/fl‘A‘e—r 2. INDQNNDQM/ 0‘? rppfli’t 3. , . K A El D are zero {TLWQ ergo.“ WWW-ti 345M Ex: #16 Are (0N6! V\\/l M. > NOTE: This plays a big role in the conservation of energy. See Text. ...
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