Concept explainers
(a)
To graph:The function
(a)
Explanation of Solution
Given:
The given function is
The graph of the function
Figure (1)
Therefore, the graph of the function
(b)
To find: The interval on which the average rate of change larger
(b)
Explanation of Solution
Given: The given function is
The average rate of change over the interval
The average rate of change over the interval
Therefore, the average rate of change is larger for
(c)
To find: The value of
(c)
Explanation of Solution
Given: The given function is
The instantaneous rate of change at
The instantaneous rate of change at
Therefore, the instantaneous rate of change is larger for
(d)
To check:The estimate by actually calculating value of
(d)
Explanation of Solution
Given: The given function is
The value of
The value of
Therefore, the instantaneous rate of change is larger for
Chapter 3 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