Use the method of Lagrange multipliers to prove that the rectangular box with maximum volume that has a fixedsurface area S must be a cube.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Use the method of Lagrange multipliers to prove that the rectangular box with maximum volume that has a fixed
surface area S must be a cube.

 

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