(a)
To Prove: The expansion of the integrand as the binomial series and then use
(a)
Explanation of Solution
Given:
For
Calculation:
Consider for the binomial series is
Then,
Consider the solution of the part is
Solve further as,
Hence, proved.
(b)
To Prove: The fact that all the terms in the series after the first one have coefficients that most are at most
(b)
Answer to Problem 32E
The required graph is shown in Figure 2
Explanation of Solution
Given:
The thermal coefficient is
Calculation:
Consider the expression is,
Then,
Consider that the inequality occurs for the case
Since, the coefficient of the term is less than
Hence, Proved.
(c)
To Find: The way in which the given condition compare to the estimate
(c)
Answer to Problem 32E
The time period the value is close to
Explanation of Solution
Calculation:
Consider that the
For
Then,
For
Then,
The n,
For the above value of the time period the value is close to
Chapter 8 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