14. Assume you have a piece of cardboard that is 15" x 8" and you want to create a box from this piece of cardboard such that the box has maximum volume. X X L X L-2X W-2x W a. Write an equation in terms of x for the volume of the box. b. What are the real-world possible values for x, express in interval notation? c. Using your graphing calculator find the value for x such that this value maximizes the volume of the created box.
14. Assume you have a piece of cardboard that is 15" x 8" and you want to create a box from this piece of cardboard such that the box has maximum volume. X X L X L-2X W-2x W a. Write an equation in terms of x for the volume of the box. b. What are the real-world possible values for x, express in interval notation? c. Using your graphing calculator find the value for x such that this value maximizes the volume of the created box.
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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Transcribed Image Text:14. Assume you have a piece of cardboard that is 15" x 8" and you want to create a box from this
piece of cardboard such that the box has maximum volume.
X
X
L
X
L-2X
W-2x
W
a. Write an equation in terms of x for the volume of the box.
b. What are the real-world possible values for x, express in interval notation?
c. Using your graphing calculator find the value for x such that this value maximizes the
volume of the created box.
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