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We want to construct a rectangular box with a square base and a lid which volume is 25 m³. a) Sketch to indicate your variables and determine the dimensions of the box to minimize the use of materials b) Use Calculus to prove that the solution to part a) is the minimum solution

We want to construct a rectangular box with a square base and a lid which volume is 25 m³. a) Sketch to indicate your variables and determine the dimensions of the box to minimize the use of materials b) Use Calculus to prove that the solution to part a) is the minimum solution

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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We want to construct a rectangular box with a square base and a lid which volume is 25 m³. a) Sketch to indicate your variables and determine the dimensions of the box to minimize the use of materials b) Use Calculus to prove that the solution to part a) is the minimum solution
Transcribed Image Text:We want to construct a rectangular box with a square base and a lid which volume is 25 m³. a) Sketch to indicate your variables and determine the dimensions of the box to minimize the use of materials b) Use Calculus to prove that the solution to part a) is the minimum solution
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