To Find:
To find limit of the ratio of the area of the triangle to the area of the parabolic region as
Answer to Problem 43E
The ratio of the triangle to the parabola is
Explanation of Solution
Given information:
The triangle AOC inscribed in the region cut from the parabola
The red line is the graph of
Now to find the area of the triangle,
Area of the triangle
Now to find the area of the parabola,
Area of the parabola
Therefore, the ratio of the area of the triangle to the area of the parabolic region is,
Therefore, the ratio of the area of the triangle to the area of the parabolic region is
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Precalculus
Precalculus Enhanced with Graphing Utilities (7th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (2nd Edition)
Calculus and Its Applications (11th Edition)
University Calculus: Early Transcendentals (3rd 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