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A rectangular box is made from a piece of cardboard 39 centimetres by 21 centimetres by cutting equal squares from each corner and bending up the sides. Express the volume of the box as a function of the side of the square that is cut out. Sketch the curve of this equation. 39 cm 21 cm ..... The function is V= (Type an expression using x as the variable. Type your answer in factored form.)

A rectangular box is made from a piece of cardboard 39 centimetres by 21 centimetres by cutting equal squares from each corner and bending up the sides. Express the volume of the box as a function of the side of the square that is cut out. Sketch the curve of this equation. 39 cm 21 cm ..... The function is V= (Type an expression using x as the variable. Type your answer in factored form.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 37E
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A rectangular box is made from a piece of cardboard 39 centimetres by 21 centimetres by cutting equal squares from each corner and bending up the sides. Express the volume of the box as a function of the side of the square that is cut out. Sketch the curve of this equation. 39 cm 21 cm ..... The function is V= (Type an expression using x as the variable. Type your answer in factored form.)
Transcribed Image Text:A rectangular box is made from a piece of cardboard 39 centimetres by 21 centimetres by cutting equal squares from each corner and bending up the sides. Express the volume of the box as a function of the side of the square that is cut out. Sketch the curve of this equation. 39 cm 21 cm ..... The function is V= (Type an expression using x as the variable. Type your answer in factored form.)
A company projects that its total savings S (in dollars) by converting to a solar-heating system with a solar-collector area A (in m) will be equal to the formula below. Find the area that should give the maximum savings and find the amount of the maximum savings. S= 450A - 0.10A3 What is the area that maximizes the savings? m2 (Round to the nearest square meter as needed.) est
Transcribed Image Text:A company projects that its total savings S (in dollars) by converting to a solar-heating system with a solar-collector area A (in m) will be equal to the formula below. Find the area that should give the maximum savings and find the amount of the maximum savings. S= 450A - 0.10A3 What is the area that maximizes the savings? m2 (Round to the nearest square meter as needed.) est
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