Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![6
5
4
-0.5
0.5
1.0
1.5
2.0
2.5
The right endpoints of then intervals are Ax(i) where i = 1 to
Then substitute Ax =
and n = 4 to find the left end points of four intervals.
2
1
Thus, the right end points of four intervals are Ax(i) =
(i), where i = 1 to 4.
That is, the four right end points of the intervals are
and 2.
2
2
Therefore, the four intervals are given as follows.
2]
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35130480-ce61-412d-a9bb-70fe97997c47%2Fe502baf1-d4ef-4eed-a0f5-f7f2dc1829fc%2Frrupdhr_processed.png&w=3840&q=75)
Transcribed Image Text:6
5
4
-0.5
0.5
1.0
1.5
2.0
2.5
The right endpoints of then intervals are Ax(i) where i = 1 to
Then substitute Ax =
and n = 4 to find the left end points of four intervals.
2
1
Thus, the right end points of four intervals are Ax(i) =
(i), where i = 1 to 4.
That is, the four right end points of the intervals are
and 2.
2
2
Therefore, the four intervals are given as follows.
2]
2
![Step 1
To find two approximations of the area of the region between the graph of the function f(x) = 2x + 2 and the
X-axis over the interval [0, 2] using 4 rectangles, first partition the interval [0, 2 ] into n =
subintervals.
Then the width of each rectangle is given by using the following formula.
b — а
Ax =
Step 2
Therefore, the width of each rectangle is
b — а
Ax =
in
- 0
4
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35130480-ce61-412d-a9bb-70fe97997c47%2Fe502baf1-d4ef-4eed-a0f5-f7f2dc1829fc%2Fy8ncnig_processed.png&w=3840&q=75)
Transcribed Image Text:Step 1
To find two approximations of the area of the region between the graph of the function f(x) = 2x + 2 and the
X-axis over the interval [0, 2] using 4 rectangles, first partition the interval [0, 2 ] into n =
subintervals.
Then the width of each rectangle is given by using the following formula.
b — а
Ax =
Step 2
Therefore, the width of each rectangle is
b — а
Ax =
in
- 0
4
1
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