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By cutting away an x-by-x square from each corner of a rectangular piece of cardboard and folding up the resulting flaps, a box with no top can be constructed. If the piece of cardboard is 32 inches long by 22 inches wide, find a function in the variable x giving the volume of the resulting box.

By cutting away an x-by-x square from each corner of a rectangular piece of cardboard and folding up the resulting flaps, a box with no top can be constructed. If the piece of cardboard is 32 inches long by 22 inches wide, find a function in the variable x giving the volume of the resulting box.

Calculus: Early Transcendentals
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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By cutting away an x-by-x square from each corner of a rectangular piece of cardboard and folding up the resulting flaps, a box with no top can be constructed. If the piece of cardboard is 32 inches long by 22 inches wide, find a function in the variable x giving the volume of the resulting box. O (64-x) (44 - x) x(64-x) (44 - x) (32-x) (22 - x) x(32-2x) (22 - 2x) x(32-x)(22-x)
Transcribed Image Text:By cutting away an x-by-x square from each corner of a rectangular piece of cardboard and folding up the resulting flaps, a box with no top can be constructed. If the piece of cardboard is 32 inches long by 22 inches wide, find a function in the variable x giving the volume of the resulting box. O (64-x) (44 - x) x(64-x) (44 - x) (32-x) (22 - x) x(32-2x) (22 - 2x) x(32-x)(22-x)
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