Concept explainers
To find: Approximating the area of region using the indicated number of rectangles of equal width.
Answer to Problem 23E
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 eight intervals are as follows.
The right end point of each intervalis
Hence,the sum of the areas of the eight rectangles is
Applying, sum mation formulas and properties,
Now,
Thus,the approximating the area of region is
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning