Concept explainers
a.
To show: that the concentration of salt after t minutes (in grams per liter)is
a.
Answer to Problem 55E
Explanation of Solution
Given:
The initial volume of tank is 5000L.
Brine contain 30g of salt per liter of water is pumped into a tank at the rate of
Calculation:
Initial volume of the tank is 5000L and every minute increases by 25L.
Therefore, the capacity of tank at time t is
Amount of salt added into tank every minute is
Therefore, the amount of salt in the tank after t minutes is
Also, it is known that concentration is the ratio of amount of salt to the volume of the tank.
Therefore,
Hence, the concentration of salt after t minutes is
b.
To check: that what is happening as
b.
Answer to Problem 55E
Explanation of Solution
Given:
The concentration of salt after t minutes is
Calculation:
As
Chapter 2 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