(a)
To find : The inverse of the given function and explain its meaning
(a)
Explanation of Solution
Given: The given function is
Consider the function.
To get the inverse replace the
Solve further,
Now interchange the variables again.
Therefore, the inverse of the function is
(b)
To find : The duration it takes to recharge the capacitor to
(b)
Explanation of Solution
Given: The given function is
The inverse of the function is,
Substitute
Therefore, the capacitor recharges in
Chapter 1 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