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Worksheet 9.5 Exercises for Extreme Values and Saddle Points

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1.

Find the absolute maximum and minimum values of
\begin{equation*} f(x,y)=x^2-xy+y^2-3y \end{equation*}
on the region bounded by the \(x\)- and \(y\)-axes and the line \(x+y=4\text{.}\)
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