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) 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 v (mi/hr) 30 30 50 50| 40 50 30 50 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. OB. OD. Q 60- 201 0.5 1 1.5 os i 15 2 o os i 15 ó os i 1.S 2 b. The midpoint Riemann sum approximation to the displacement on [0.2] with n=2 is miles.

Advanced Engineering Mathematics
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ISBN:9780470458365
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) 30
0.25 0.5 0.75 1 1.25
50
30
1.75
2
50
1.5
30
50
50| 40
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.
X
O B.
O D.
A.
Av
80-
70-
AV
80-
Av
80-
70-
60-
V
80-
70-
60-
50-
40-
30-
20-
o 05 i 1s
70-
60-
60-
50-
50-
50-
40-
30-
20-
0.5 i
40-
30-
20-
0.5 i '15' 2
40-
30-
20-
o'5
1.5 2
0 0.5 1
1.5 2
1
1.5 2
b. The midpoint Riemann sum approximation to the displacement on [0,2] with n=2 is
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) 30 0.25 0.5 0.75 1 1.25 50 30 1.75 2 50 1.5 30 50 50| 40 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. X O B. O D. A. Av 80- 70- AV 80- Av 80- 70- 60- V 80- 70- 60- 50- 40- 30- 20- o 05 i 1s 70- 60- 60- 50- 50- 50- 40- 30- 20- 0.5 i 40- 30- 20- 0.5 i '15' 2 40- 30- 20- o'5 1.5 2 0 0.5 1 1.5 2 1 1.5 2 b. The midpoint Riemann sum approximation to the displacement on [0,2] with n=2 is miles.
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