Concept explainers
To find: maximum height of the diver.
Answer to Problem 67E
Explanation of Solution
Given:
The path of a diver is modeled by
Concept Used:
For the function
When
When
Calculation:
Now compare the given function
Clearly
So by the above definition, f has a maximum at
So, the diver reaches the maximum height when the horizontal distance (in feet) from the end of the diving board is,
And the maximum height of the diver is:
Conclusion:
Maximum height of the diver is 16 feet.
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
- 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