Concept explainers
a.
To find: the limit under certain assumptionsis
a.
Answer to Problem 56E
Explanation of Solution
Given:
The velocity of falling raindrop at time t is
Where
Calculation:
As the velocity of falling raindrop at time t is
Therefore,
Hence, the limit under certain assumptions is
b.
To find: the time at which the velocity of the raindrop to reach 99% of its terminal velocity and graph the terminal velocity.
b.
Answer to Problem 56E
Explanation of Solution
Given:
The velocity of falling raindrop at time t is
Where
Calculation:
As the velocity of falling raindrop at time t is
When
Therefore,
Graph is shown below:
99% of the terminal velocity will be achieved when
From the graph, it is found that
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