From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides

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From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded up to make a box.
From a 12-cm by 12-cm piece of cardboard, square corners

(a) Express the volume of the box as a function of the side x, in centimeters, of a cut-out square.
(b) Find the domain of the function.
(c) Graph the function with a graphing calculator.
(d) What dimensions yield the maximum volume?

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Related Book For  book-img-for-question

College Algebra Graphs and Models

ISBN: 978-0321845405

5th edition

Authors: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna

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