A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out squares of lengthh from the corners and folding up the sides as in the figure below: A Suppose that the box height is h = 4 in, and that it is constructed using 160 in.? of cardboard (i.e., AB= 160). Which values A and B maximize the volume? A = in. B = in.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out squares of length h from the corners and folding up the sides as in the figure below:
Suppose that the box height ish=4 in. and that it is constructed using 160 in.? of cardboard (i.e., AB = 160). Which values A and B maximize the volume?
A =
in.
B =
in.
Transcribed Image Text:A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out squares of length h from the corners and folding up the sides as in the figure below: Suppose that the box height ish=4 in. and that it is constructed using 160 in.? of cardboard (i.e., AB = 160). Which values A and B maximize the volume? A = in. B = in.
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