(a)
To find: The exponential model for the charge.
(a)
Answer to Problem 77E
The exponential model for the charge
Explanation of Solution
Calculation:
Use the online graphing calculator and obtain the graph of an exponential model for the charge as shown below in Figure 1.
The exponential model is
From given table
Substitute
Take natural logarithm on both sides,
Substitute
Therefore, the exponential model for the charge
(b)
To estimate: The electric current when
(b)
Answer to Problem 77E
The electric current when
Explanation of Solution
Calculation:
From part (a) the exponential model is
Obtain the derivative
Substitute
Therefore, the electric current at
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