Find the absolute extrema of the function over the region R. (In each case, R contains the boundaries.) Use a computer a

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Find the absolute extrema of the function over the region R. (Ineach case, R contains the boundaries.) Use a computer algebrasystem to confirm your results.
f(x, y) = x^2 + 2xy + y^2, R = {(x, y) : |x| ≤ 4, |y| ≤ 3}