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This extreme value problem has a solution with both a maximum value and a minimum value....

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint. f(x1, x2, ..., xn) = x1 + x2 + ... + xn; x1^2 + x2^2 + ... + xn^2 = 36

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