Use Lagrange multiplier techniques to find the local extreme values of the given function subject to the stated constraint. If appropriate, determine if the extrema are global. (If a local or global extreme value does not exist enter DNE.) f(x, y) = 5x + y + 3 with constraint g(x, y) = xy 1 3+2√5 x not global ✔✔ -2√5 +3 x local max local min not global ✔

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