(Steps Shown) Find the absolute extrema of the function over region R . f(x,y)=x^2+2xy+y^2 R= (x,y): |x|≤ 2, |y|≤


Question: Find the absolute extrema of the function over region R .

\[f\left( x,y \right)={{x}^{2}}+2xy+{{y}^{2}}\] \[R=\left\{ \left( x,y \right):\,\,|x|\le 2,\,\,|y|\le 1 \right\}\]

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