Absolute Minimum and Maximum Value of a Function on a Set

Find the absolute maximum and minimum values of f on the set D.
28. f(x, y) = 3 + xy ? x ? 2y, D is the closed triangular region with vertices (1, 0), (5, 0), and (1, 4)
24. Use Lagrange multipliers to prove that the triangle with maximum area that has a given perimeter p is equilateral.


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