The velocities (in mi/hr) of an automobile moving along a straight highway over a 2-hr period are given in the following table. t (hr) v (mi/hr) 0.25 50 0.5 0.75 1 1.25 1.5 1.75 2 50 60 60 55 70 50 60 80 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. В. C. Av 80- 70- Av 80- 70- 60- 50- 40- Av 80- 70- 60+ 50- 40- 30- 20+ 60- 50- 40- 30- 20+ 0.5 30- 20- 0.5 1 1.5 2 0.5 1 1.5 2 1 1.5 b. The midpoint Riemann sum approximation to the displacement on [0,2] with n=2 is miles. (Type an integer or a decimal.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The velocities (in mi/hr) of an automobile moving along a straight highway over a 2-hr period are given in the following table.
t (hr)
v (mi/hr)
0.25
0.5
0.75
1
1.25
1.5
1.75
50
50
60
60
55
70
50
60
80
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.
%3D
....
O A.
В.
C.
Av
80-
AV
80-
80-
70-
70-
70-
60-
60-
60-
50-
50-
50-
40-
40-
40-
30-
30-
30-
20-
0.5
20-
20-
0.5
1
1.5
2
0.5
1
1.5 2
1
1.5
b. The midpoint Riemann sum approximation to the displacement on [0,2] with n = 2 is
miles.
(Type an integer or a decimal.)
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. t (hr) v (mi/hr) 0.25 0.5 0.75 1 1.25 1.5 1.75 50 50 60 60 55 70 50 60 80 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. %3D .... O A. В. C. Av 80- AV 80- 80- 70- 70- 70- 60- 60- 60- 50- 50- 50- 40- 40- 40- 30- 30- 30- 20- 0.5 20- 20- 0.5 1 1.5 2 0.5 1 1.5 2 1 1.5 b. The midpoint Riemann sum approximation to the displacement on [0,2] with n = 2 is miles. (Type an integer or a decimal.)
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