the following table. t (hr) v (mi/hr) 0 30 0.25 0.5 0.75 30 50 50 1 45 1.25 1.5 1.75 60 30 50 2 80

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
The velocities (in mi/hr) of an automobile moving along a straight highway over a 2-hr period are given in
the following table.
a. Sketch a smooth curve passing through the data points.
b. Find the midpoint Riemann sum approximation to the displacement on [0,2] with n = 2 and n = 4.
a. Choose the correct graph below.
O A.
t (hr)
0 0.25
0.5
v (mi/hr) 30 30 50
Av
80-
70-
60-
50-
40-
30-
20-
0 0.5 1
1.5 2
t
(
B.
80-
70-
60-
50-
[40-
30-
20-
0.75 1 1.25 1.5 1.75 2
60 30 50 80
50
45
0
Az
0.5 1 1.5 2
C.
80-
70-
60-
50-
[40-
30-
20-
0 0.5
1.5 2
OD.
C
Av
80-
70-
60-
50-
[40-
30-
20-
0 0.5 1 1.5 2
t
Transcribed Image Text:The velocities (in mi/hr) of an automobile moving along a straight highway over a 2-hr period are given in the following table. a. Sketch a smooth curve passing through the data points. b. Find the midpoint Riemann sum approximation to the displacement on [0,2] with n = 2 and n = 4. a. Choose the correct graph below. O A. t (hr) 0 0.25 0.5 v (mi/hr) 30 30 50 Av 80- 70- 60- 50- 40- 30- 20- 0 0.5 1 1.5 2 t ( B. 80- 70- 60- 50- [40- 30- 20- 0.75 1 1.25 1.5 1.75 2 60 30 50 80 50 45 0 Az 0.5 1 1.5 2 C. 80- 70- 60- 50- [40- 30- 20- 0 0.5 1.5 2 OD. C Av 80- 70- 60- 50- [40- 30- 20- 0 0.5 1 1.5 2 t
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