Concept explainers
Charging a Battery The rate at which a battery charges is slower the closer the battery is to its maximum charge C0. The time (in hours) required to charge a fully discharged battery to a charge C is given by
where k is a positive constant that depends on the battery. For a certain battery, k = 0.25. If this battery is fully discharged, how long will it take to charge to 90% of its maximum charge C0?
The time taken to charge to
Answer to Problem 90E
The time t required take to charge to
Explanation of Solution
Given that, the time t required to charge a fully discharged battery to a charge C is
The is can be calculated as follows,
That is, the value.
Substitute the value
That is,
Hence, the time t required take to charge to
Chapter 4 Solutions
Precalculus: Mathematics for Calculus - 6th 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