Concept explainers
To find: The value of r.
Answer to Problem 66E
The value of
Explanation of Solution
Given:
The function
The differential equation
Derivative rule:
Constant multiple rule:
Calculation:
Obtain the first derivative of
Therefore, the first derivative of
Obtain the second derivative of
Apply the constant multiple rule (1),
Therefore, the second derivative of
Substitute the values of
Since
Use the quadratic formula
On further simplification to obtain the roots of the equation
Therefore, the value of
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