(a) Find the maximum value of given that are positive

Chapter 11, Problem 11.8.43

(choose chapter or problem)

(a) Find the maximum value of given that are positive numbers and , where is a constant. (b) Deduce from part (a) that if are positive numbers, then This inequality says that the geometric mean of numbers is no larger than the arithmetic mean of the numbers. Under what circumstances are these two means equal?

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