Concept explainers
(a)
To write: .The function
(a)
Explanation of Solution
The expression for volume is obtained as,
Therefore, the function that represent the volume is
(b)
The domain of the function
(b)
Explanation of Solution
Given: The function
The length must be non negative. So,
Therefore, the domain of the function is
(c)
To draw: The graph of
(c)
Explanation of Solution
Given: The function
The graph of the function is shown in figure below.
Figure (1)
Therefore, the graph of the volume function is shown in Figure (1).
(d)
To estimate: The radius and length of the tank for the given volume.
(d)
Explanation of Solution
Given: The volume is
Consider the graph.
Figure (1)
The point at which
The length is,
Therefore, the radius is
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
- 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