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Lagrange multipliers: Extreme values of a function subject to a constraint

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Uploaded on Nov 17, 2008

Free ebook http://tinyurl.com/EngMathYT
I discuss and solve an example where the points on an ellipse are sought that maximize and minimize the function $f(x,y) := xy$. The method of solution involves an application of Lagrange multipliers. Such an example is seen in 1st and 2nd year university mathematics.

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