Concept explainers
To find: the output for a wind speed of 40 miles per hour.
Answer to Problem 14CLT
Explanation of Solution
Given:
The power P varies directly as the cube of the speed S.
A wind speed of 27 miles per hour produces a power output of 750 kilowatts.
Concept Used:
For the variables x and y , the statement y varies directly as x can be translated as:
Where k is a non-zero constant called the constant of proportionality.
Now, the given statement is “ P varies directly as the cube of S.”.
It can be noted that cube of S means
So, by the definition in above step and using k as the constant of proportionality, given statement can be translated as:
Also, it is given that when
Substitute, this value of k in equation (1),
Now, substitute
Conclusion:
The output for a wind speed of 40 miles per hour is
Chapter 3 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