To find: The water entered the pool time t .
Answer to Problem 4E
The amount (volume) of water entered the pool in 5 min is 42.5 gallons.
Explanation of Solution
Given data: Water enters the pool at the rate
Method/Formula used:
Suppose water enters a pool at the rate
Calculations:
Water enters the pool at the rate
Therefore, from the result (1), the amount (volume) of water entered the pool in 5 min is
Substitute
Integrate right side,
Solve further,
Therefore, the amount (volume) of water entered the pool in 5 min is 42.5 gallons.
Chapter 5 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
- 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