An open box is to be made from a square piece of cardboard of side 12 inches by cutting out squares of the same size from the four corners and turning up the sides. What should be the size of the squares cut out if the box is to have as large as volume as possible? Let the domain of the function be [0, 6].

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 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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q: An open box is to be made from a square piece of cardboard of side 12 inches
by cutting out squares of the same size from the four corners and turning up
the sides. What should be the size of the squares cut out if the box is to have
as large as volume as possible? Let the domain of the function be [0, 6].

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