(a)
To graph: The function
(a)
Explanation of Solution
Given information:
The function
Graph:
To graph
Choose
Choose
Choose
Choose
So the points on a graph of
Now plot these points and draw linepassing through the points
The graph of function
Interpretation:
The graph of
(b)
Partition of interval
(b)
Answer to Problem 15CT
Solution:
The approximated area under the graph of
Explanation of Solution
Given information:
The function,
Explanation:
The interval
So, the graph of partition of interval
Choose
So,
The area,
By substituting values of
Hence, approximated area under the graph of
(c)
Exact area of the region under the graph of
(c)
Answer to Problem 15CT
Solution:
The actual area of the region under the graph of
Explanation of Solution
Given information:
The function,
Explanation:
From part (a) the graph of the function
The region under the graph of function
Thus, the actual area,
Substitute
Thus, the actual area of the region under the graph of
From part (b) the approximated area is
By comparing actual area with approximated area it is observed that the approximated area is slightly greater than actual area.
Chapter 14 Solutions
Precalculus
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
University Calculus: Early Transcendentals (4th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus & Its Applications (14th Edition)
Glencoe Math Accelerated, Student Edition
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