Concept explainers
(a)
To express: The water pressure in terms of the depth below the ocean surface.
(a)
Answer to Problem 17E
The equation of the water pressure in terms of the depth below the ocean surface is
Explanation of Solution
Let p represents the pressure d represents the depth.
Since the water pressure below the surface of the ocean is increases by
Therefore, the slope is,
Also, it is given that the water pressure at the surface of the ocean is same as the air pressure above the water,
This can be expressed as the point (0, 15) where 0 represents the depth and the 15 represents the water pressure.
Recall the
Substitute the slope
Thus, the required equation is
(b)
To find: The depth when the pressure is
(b)
Answer to Problem 17E
The depth is approximately 196 feet when the water pressure is
Explanation of Solution
From part (a), the equation of the water pressure as the function of the depth is
Substitute
Thus, the water pressure is
Chapter 1 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