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13. [12 Points] Find three positive numbers x, y and z such that the sum is 27 and the sum of the squares is a
13. [12 Points] Find three positive numbers x, y and z such that the sum is 27 and the sum of the squares is a minimum. The use of trial and error will not be an acceptable approach for this problem. [Hint: Use either of the two methods learned for finding extrema for a function of multiple variables.]
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