2. An open box will be made by cutting a square from each corner of a 6-ft by 6-ft piece of cardboard and then folding up the sides. Let x be the length of the side of the square. a).. Set up the volume of the box as a function of r: V(r), find the domain. b). Find V'(x), and find the critical numbers. c). Find the r value that produces a box of maximum volume. d). What is the maximum volume.

2. An open box will be made by cutting a square from each corner of a 6-ft by 6-ft piece of cardboard and then folding up the sides. Let x be the length of the side of the square. a).. Set up the volume of the box as a function of r: V(r), find the domain. b). Find V'(x), and find the critical numbers. c). Find the r value that produces a box of maximum volume. d). What is the maximum volume.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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