(a)
To Prove: The dog’s path is the graph of the function
(a)
Answer to Problem 9P
The
Explanation of Solution
Given:
The given diagram is shown in Figure 1
Figure 1
Calculation:
Consider the distance travelled by the dog is,
Since, both the dog and the rabbit are at the same speed and as the dog reaches
The slope of the line that joins the points is,
Then,
Then, from the given equations,
Consider the distance travelled by the dog is,
Since, both the dog and the rabbit are at the same speed and as the dog reaches
The slope of the line that joins the points is,
Then,
(b)
To Find: The solution of the equation in part (a) that satisfies the initial conditions
(b)
Answer to Problem 9P
The solution of the equation is
Explanation of Solution
Calculation:
Consider the relation is,
Then,
Solve further as,
Consider the case for
Take
Integrate both the sides as,
Consider for
Thus, the equation is,
(c)
To Find: Whether the dog catch the rabbit.
(c)
Answer to Problem 9P
The dog cannot catch the rabbit.
Explanation of Solution
Calculation:
Consider the case when the point
Since,
For the case when
Chapter 7 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