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

Advanced Engineering Mathematics
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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.
1.25 1.5 1.75 2
t (hr)
0 0.25 0.5
v (mi/hr) 30 30 50
55
30
50
70
0.75
50
1
45
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.
ORFELD
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. 1.25 1.5 1.75 2 t (hr) 0 0.25 0.5 v (mi/hr) 30 30 50 55 30 50 70 0.75 50 1 45 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. ORFELD
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