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Concept explainers
(a)
To graph: The function
(a)
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
The given function is
Graph this function on
(b)
To graph: The eight sub-interval of equal length and choose left end points of each sub-interval.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 15CT
Explanation of Solution
Given:
Make partition in graph into eight subintervals of equal length and choose u as the left end point of each sub interval.
There are 8 rectangle. Area of all rectangle is approximate area of graph.
Width of each rectangle is 0.5.
Area of curve,
(c)
To find: The exact area of the graph.
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 15CT
Explanation of Solution
Given:
Using integral to find the exact area.
Hence, Exact area is less than approximate area. It would be upper bound approximation.
Chapter 14 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Glencoe Math Accelerated, Student Edition
Calculus: Early Transcendentals (2nd Edition)
Calculus & Its Applications (14th Edition)
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