To find: The function that models volume of a rectangular box with square base in terms of its width whose height is half of width of its base.
Answer to Problem 3P
The function is modeled as
Explanation of Solution
Volume
The width of given box is
Calculate area of square base.
Model the function in single variable
The height
Summarize all the information in a table as shown below,
In Words | In Algebra |
Area of Square base |
|
Height of the box |
|
Model the function from the information given in the table.
Thus, the function is modeled as
Chapter 2 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning