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Consider the function f(x, y) = xy and the domain D = {(x, y) | x^2...

Consider the function f(x, y) = xy and the domain D = {(x, y) | x^2 + y^2 ≤ 8}

Find all critical points & Use Lagrange multipliers to find the absolute extrema of f on the boundary of D,which is the circle x^2 +y^2 =8.

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