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
(Question 19 and 23) show all work, thank you!
#19 answer given= 2.78m
#23 answer given = 20; 25
![17-22. Approximating displacement The velocity of an object is given by the
following functions on a specified interval. Approximate the displacement of the
object on this interval by subdividing the interval into n subintervals. Use the left
endpoint of each subirlterval to compute the height of the rectangles.
17.v2t +1 (m/s), for 0 ≤ t ≤ 8; n = 2
18. TV et (m/s), for 0 < t < 3; n = 3
=
1
(m/s), for 0 < t < 8; n = 4
19. V =
20. V =
21. τ υ
22. V =
2t + 1
t²
+4 (ft/s), for 0 ≤ t≤ 12; n = 6
2
= 4√t+1(mi/hr), for 0 ≤ t ≤ 15; n = 5
t + 3
(m/s), for 0 < t < 4; n = 4.
6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F627ffe10-a730-4e4c-b7e9-b306478e5985%2Ff8f9f29c-c769-4f2c-9555-095143bc92fa%2F4v5ixhb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:17-22. Approximating displacement The velocity of an object is given by the
following functions on a specified interval. Approximate the displacement of the
object on this interval by subdividing the interval into n subintervals. Use the left
endpoint of each subirlterval to compute the height of the rectangles.
17.v2t +1 (m/s), for 0 ≤ t ≤ 8; n = 2
18. TV et (m/s), for 0 < t < 3; n = 3
=
1
(m/s), for 0 < t < 8; n = 4
19. V =
20. V =
21. τ υ
22. V =
2t + 1
t²
+4 (ft/s), for 0 ≤ t≤ 12; n = 6
2
= 4√t+1(mi/hr), for 0 ≤ t ≤ 15; n = 5
t + 3
(m/s), for 0 < t < 4; n = 4.
6
![23-24. Left and right Riemann sums Use the figures to calculate the left and
right Riemann sums for f on the given interval and for the given value of n.
23. f(x) = x + 1 on [1, 6]; n = 5
YA
YA
7
6
5
4
3-
2-
1
0
1
2
f(x) = x + 1
3
4
5 6 X
7
6
5.
4
3
2
1
0
1
2
f(x) = x + 1
3
4
5 6
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F627ffe10-a730-4e4c-b7e9-b306478e5985%2Ff8f9f29c-c769-4f2c-9555-095143bc92fa%2Fjlc4l9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:23-24. Left and right Riemann sums Use the figures to calculate the left and
right Riemann sums for f on the given interval and for the given value of n.
23. f(x) = x + 1 on [1, 6]; n = 5
YA
YA
7
6
5
4
3-
2-
1
0
1
2
f(x) = x + 1
3
4
5 6 X
7
6
5.
4
3
2
1
0
1
2
f(x) = x + 1
3
4
5 6
X
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