Concept explainers
To find: Approximating the area of region using the indicated number of rectangles of equal width.
Answer to Problem 24E
Approximating the area of region is
Explanation of Solution
Given information:
The given equation is,
And, rectangles are
Concept used:
The area of a region;
Let
The given function is,
The length of the interval along the
To obtain the height of each rectangle, evaluate
The four intervals are as follows.
The right end point of each interval is
Hence, the sum of the areas of the four rectangles is
Applying, summation formulas and properties,
Now,
Finally, Approximating the area of region is
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