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MIT18_024S11_GreensThmReci - 18.024 Multivariable Calculus...

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� � GREEN’S THEOREM PROBLEM Theorem 0.1. Let R 1 be the region in R 2 bounded by the curves x = d, y = c, y = f ( x ) where f ( x ) = y is the same curve as x = g ( y ) (i.e. f is invertible on the interval of interest) and f ( x ) > c on the region of interest. Prove ∂P dxdy = Pdx. R 1 ∂y ∂R 1 1
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Unformatted text preview: 18.024 Multivariable Calculus with Theory Spring 2011 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms ....
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