Using calculus methods to find the length of the sides of the squares cut out so that the volume of the box may be as great as possible. Prove this to be the maximum capacity of the box using higher order derivatives.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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(iv): A rectangular sheet of metal 360mm by 240mm has four equal squares cut out at the
corners. The sides are then turned up to form a rectangular box.
360mm
240 mm
Using calculus methods to find the length of the sides of the squares cut out so that the
volume of the box may be as great as possible. Prove this to be the maximum capacity of
the box using higher order derivatives.
Transcribed Image Text:(iv): A rectangular sheet of metal 360mm by 240mm has four equal squares cut out at the corners. The sides are then turned up to form a rectangular box. 360mm 240 mm Using calculus methods to find the length of the sides of the squares cut out so that the volume of the box may be as great as possible. Prove this to be the maximum capacity of the box using higher order derivatives.
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