a.
To graph: the parabolic arch bounded by
a.
Answer to Problem 15PS
Explanation of Solution
Given information: Archimedes showed that the area of a parabolic arch is equal to
the product of the base and the height.
Calculation:
The graph of the parabolic arch
b.
To find: the area of the parabolic arch by using the limit process.
b.
Answer to Problem 15PS
Area of the parabolic arch=36
Explanation of Solution
Given information: Archimedes showed that the area of a parabolic arch is equal to
the product of the base and the height .
Calculation:
By the limit process the area of parabola is
c.
To find: the base and height of the arch and verify Archimedes’ formula.
c.
Answer to Problem 15PS
Base=6.
Height=9.
Area=36.
Area obtained by limit process and Archimedes’ formula are same.
Explanation of Solution
Given information: Archimedes showed that the area of a parabolic arch is equal to
the product of the base and the height
Calculation:
By Archimedes’ formula,
Thus area obtained by both methods are same .
Chapter 12 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