[See Solution] Consider the closed disk D= (x,y): x^2+y^2≤ 4 and let f(x,y)=x^2-y^2. Find the global extrema of f on the region D


Question: Consider the closed disk

\(D=\left\{ \left( x,y \right):\,\,\,{{x}^{2}}+{{y}^{2}}\le 4 \right\}\)

and let \(f\left( x,y \right)={{x}^{2}}-{{y}^{2}}\). Find the global extrema of f on the region D .

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