Find by the Lagrange multiplier method the largest value of the product of three positive numbers if their sum is 1.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter12: Coupled Oscillations
Section: Chapter Questions
Problem 12.2P
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Find by the Lagrange multiplier method the largest value of the product of three positive numbers if their sum is 1.

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