A 30-inch by 40-inch piece of cardboard is to be turned into a box by cutting four equal-sized squares out of each corner, folding the "flaps" up on the remaining card- board, and gluing the edges together. Let x be the length of the side of the square that is cut out of cach corner. Construct a formula for the volume of the resulting box. What's the domain of the function? What's the volume if the squares that are cut out of each corner are six inches on cach side?

A 30-inch by 40-inch piece of cardboard is to be turned into a box by cutting four equal-sized squares out of each corner, folding the "flaps" up on the remaining card- board, and gluing the edges together. Let x be the length of the side of the square that is cut out of cach corner. Construct a formula for the volume of the resulting box. What's the domain of the function? What's the volume if the squares that are cut out of each corner are six inches on cach side?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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