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From a 15-cm by 15-cm piece of cardboard, square corners are cut out so that the sides can be folded up to make a box. Complete parts a through c below. a) Express the volume of the box as a function of the side x, in centimeters, of a cut-out square. v=0 b) Find the domain of the function. (Type your answer in interval notation.) c) Using the graph of the function shown below, determine the dimensions that yield AV the maximum volume. 300- (Simplify your answers.) 250- 200- 150- 100- 50- 0- Length= cm Width = cm Height = cm 0 (2.5.250) 6 du

From a 15-cm by 15-cm piece of cardboard, square corners are cut out so that the sides can be folded up to make a box. Complete parts a through c below. a) Express the volume of the box as a function of the side x, in centimeters, of a cut-out square. v=0 b) Find the domain of the function. (Type your answer in interval notation.) c) Using the graph of the function shown below, determine the dimensions that yield AV the maximum volume. 300- (Simplify your answers.) 250- 200- 150- 100- 50- 0- Length= cm Width = cm Height = cm 0 (2.5.250) 6 du

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.2: Linear Functions And Applications
Problem 31PS
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From a 15-cm by 15-cm piece of cardboard, square corners are cut out so that the sides can be folded up to make a box. Complete parts a through c below. x a) Express the volume of the box as a function of the side x, in centimeters, of a cut-out square. v=0 b) Find the domain of the function. (Type your answer in interval notation.) c) Using the graph of the function shown below, determine the dimensions that yield the maximum volume. (Simplify your answers.) Length = Width= cm Height = cm cm AV 300- 250- 200- 150- 100- 50- 0- (2.5.250) Q Q 5
Transcribed Image Text:From a 15-cm by 15-cm piece of cardboard, square corners are cut out so that the sides can be folded up to make a box. Complete parts a through c below. x a) Express the volume of the box as a function of the side x, in centimeters, of a cut-out square. v=0 b) Find the domain of the function. (Type your answer in interval notation.) c) Using the graph of the function shown below, determine the dimensions that yield the maximum volume. (Simplify your answers.) Length = Width= cm Height = cm cm AV 300- 250- 200- 150- 100- 50- 0- (2.5.250) Q Q 5
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