5. An open-top box is to be made by cutting squares from a sheet of tin 4 ft. long and 2.5 ft. wide and turning up the sides.   A. What should be the dimensions of the box so as to maximize its volume?   B. What is the volume of the largest box?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5. An open-top box is to be made by cutting squares from a sheet of tin 4 ft. long and 2.5 ft. wide and turning up the sides.

 

A. What should be the dimensions of the box so as to maximize its volume?

 

B. What is the volume of the largest box?

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