(a) Find the maximum value of given that x 1 , x 2 , . . ....

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(a) Find the maximum value of 

given that x1, x2, . . . , xn are positive numbers and x1 + x2 + ∙ ∙ ∙ + xn = c, where c is a constant.

(b) Deduce from part (a) that if x1, x2, . . . , xn are positive numbers, then

This inequality says that the geometric mean of n numbers is no larger than the arithmetic mean of the numbers. Under what circumstances are these two means equal?

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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