**Problem Statement:**Use a Lagrange multiplier to find the dimensions of the rectangular box of largest possible volume, with surface area \(24 \text{ in}^2\). (You may be able to guess the answer, but you should still confirm it with a calculation.)

Answered: Image /qna-images/answer/f8ad725f-7fe7-4dc5-bf31-5ab6cc582037.jpg

Answered: Use a Lagrange multiplier to find the…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Use a Lagrange multiplier to find the dimensions of the rectangular box of largest possible volume, with surface area 24 in?. (You may be able to guess the answer, but you should still confirm it with a calculation.)