Give the opinion about Rita’s and Lorena’s results.
Answer to Problem 3CFU
Lorena is correct.
Explanation of Solution
Given:
The Rita’sstatement is that the total area of the rectangles is always greater than the area under the curve because the rectangles stick out above the curve. Lorena disagree.
Calculation:
Lorena is correct, because the statement of Rita is true for only function that continuously increase. It is not true for decreasing function which have an understated area if the top right corner touches the graph.
The graph for the correct answer is given below.
In the graph, the left end point approximation is overestimate some parts of the area under the curve and underestimate others.
Chapter 15 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus (10th Edition)
Calculus and Its Applications (11th Edition)
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