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Find the maximum and minimum values of the function f(x, y, z) = x2 2 subject to the constraint a2 + 3 + 22 =

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Find the maximum and minimum values of the function f(x, y, z) = x2 2 subject to the constraint a2 + 3 + 22 = 400. Maximum value is 64000000/27 occuring at points (positive integer or "infinitely many"). Minimum value is 0 , occuring at points (positive integer or "infinitely many")

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