Concept explainers
To find: The function of the height of the closed rectangular box in terms of the width and its domain.
Answer to Problem 56E
The formula for the height of the closed rectangular box as a function of the width is
The domain of the function of the height of the closed rectangular box in terms of width is
Explanation of Solution
Given:
The volume of the closed rectangular box is 8 ft3. The length of the rectangular box is twice its width.
Formula used:
Volume of the rectangular box of length l, width b, height h is
Calculation:
Let the width of the rectangular box be w. Then, the length of the rectangular box is 2w.
And, the height of the rectangular box is h.
Thus, the volume of the rectangular box is,
Since the volume of the closed rectangular box is 8ft3, the height of the rectangular box is computed as follows:
The formula for the height of the closed rectangular box as a function of the width is
The domain of the function of the height of the closed rectangular box in terms of width is
Chapter 1 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced 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