The velocities (in mi/hr) of an automobile moving along a straight highway over a 2-hr period are given in the following table. 1 t (hr) v (mi/hr) 50 0.25 0.5 0.75 1.25 1.5 1.75 50 60 60 50 60 50 60 75 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. O B. OC. AV 80- 70 60 80- 70- 60- 50- 40- 30 20- 0 05 80- 70 60 50 40 30 20 O 05 50- 40 30 20 ở 05 i 15 15 15 b. The midpoint Riemann sum approximation to the displacement on (0,2] with n=2 is miles. (Type an integer or a decimal.) The midpoint Riemann sum approximation to the displacement on [0.2] with n= 4 is (Type an integer or a decimal.) miles.

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Author:Erwin Kreyszig
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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
2
50
50
60
60
50
60
50
60
75
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.
В.
OC.
D.
AV
80어
70-
AV
80어
70-
AV
80어
70-
60어
50+
40-
80어
70어
60어
50-
40-
30-
20-
60-
50-
50-
40-
30-
20-
40-
30-
20-
30-
20-
0.5
1
1.5
2
0.5
1
1.5
2
0.5
1
1.5
2.
0.5
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.)
The midpoint Riemann sum approximation to the displacement on [0,2] with n= 4 is
(Type an integer or a decimal.)
miles.
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 2 50 50 60 60 50 60 50 60 75 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. В. OC. D. AV 80어 70- AV 80어 70- AV 80어 70- 60어 50+ 40- 80어 70어 60어 50- 40- 30- 20- 60- 50- 50- 40- 30- 20- 40- 30- 20- 30- 20- 0.5 1 1.5 2 0.5 1 1.5 2 0.5 1 1.5 2. 0.5 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.) The midpoint Riemann sum approximation to the displacement on [0,2] with n= 4 is (Type an integer or a decimal.) miles.
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