Solved: Powers and roots Assume that x + y + z = 1 with x

Chapter 12, Problem 68

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Powers and roots Assume that x + y + z = 1 with x 0, y 0, and z 0. a. Find the maximum and minimum values of 11 + x2211 + y2211 + z22. b. Find the maximum and minimum values of 11 + 1x211 + 1y211 + 1z2. (Source: Math Horizons, Apr 2004)

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