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Calc III Ch15 Notes_Part14

# Calc III Ch15 Notes_Part14 - You can use Green’s Theorem...

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Unformatted text preview: You can use Green’s Theorem to calculate work: Ex: Force is F(x, y) 2 (ex —3y)i + (ey + 6x) j , moving counterclockwise around r = 2 cos 6? NX [\l\ IL 7,505 e} [MFJ (CV A H 9 “H K . , g, 0' ; W \ , : What happens to Green’s Theorem if we have a conservative vector ﬁeld? 3 b} - r . «A f {41-}? EX: L3xydx+§x2dy / 0 (if; 0.; 2336‘: 5 WHO ‘3 ’ Areas: You can use line integrals to calculate areas (sort of Green’s theorem backwards ~ see text for details) ...
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