(a)
To find: The average value of the function at the given interval.
(a)
Answer to Problem 10E
The average value of the function is 0.49.
Explanation of Solution
Given information:
The function
Calculation:
The function is,
Find the average value of function
Substitute 0 for a, 2 for b and
Consider
Differentiate both side of the Equation (4).
Substituteu for
Substitute
Hence, the average value of the function is 0.49.
(b)
To find: The value of c.
(b)
Answer to Problem 10E
The average value of c is 0.85.
Explanation of Solution
Given information:
The function
Calculation:
Find the c as shown below.
Substitute c for x in Equation (1)
Take log on both sides in Equation (6).
Thus, the average value of
(c)
To sketch: The graph of f.
(c)
Explanation of Solution
Draw the graph of f.
Sketch the graph of function f as shown in Figure 1.
Chapter 6 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