Concept explainers
To show:thatthere is point on the path that the monk will cross exactly the same time on the day on both days by using IVT
Answer to Problem 55E
There is point on the path that the monk will cross exactly the same time on the day on both days.
Explanation of Solution
Given:
A Tibetan monk leaves the monastery at 7: AM and takes his usual path to the top of the mountain, arriving at 7:PM .
Calculation:
Let
And let
Now, consider the function
Note that the functions
Therefore
Therefore, by IVT there is some value t for which
Hence, there is point on the path that the monk will cross exactly the same time on the day on both days.
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