Concept explainers
To calculate: the given system of equation
Answer to Problem 34E
n | Approximate Area |
4 | 57.75 |
8 | 55.188 |
20 | 53.67 |
50 | 53.067 |
100 | 52.867 |
8 | 158/3 |
Explanation of Solution
Given equations:
Calculation:
Let’s take the function f that is continuous and non negative on the interval (a,b). The area A of the region surrounded by the chart along x-axis is
Let’s take the subsequent figure of the given equation:
The
Find the size of the rectangle made with x and y axis:
rough area of the n rectangles can be calculated as:
Apply the following formula:
Complete the given table using the above expression:
Therefore, by using above values the table as follows:
n | Approximate Area |
4 | 57.75 |
8 | 55.188 |
20 | 53.67 |
50 | 53.067 |
100 | 52.867 |
8 | 158/3 |
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