24. An open box is to be made by cutting a square from each corner of a 20-cm-by-32-cm pieceof metal and then folding up the sides. Let x represent the length of the side of the square to becut out. Find the value of x that leads to maximum volume and the maximum value.

Answered: Image /qna-images/answer/cdb58634-9424-49ea-a83a-3d2c63d6f8f9.jpg

Answered: 24. An open box is to be made by…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.4: Graphing Polynomial Functions

Problem 43PS

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24. An open box is to be made by cutting a square from each corner of a 20-cm-by-32-cm piece of metal and then folding up the sides. Let x represent the length of the side of the square to be cut out. Find the value of x that leads to maximum volume and the maximum value.