You and a companion are driving a twisty stretch of road in a car with a speedometer but no odometer. To find out how long this road is, you record the car's velocity at 10-second intervals. a. Estimate the length of the road using left-endpoint values. ft b. Estimate the length of the road using right-endpoint values. ft Time (s) 0 10 20 30 40 50 60 Velocity (ft/s) 0 32 46 27 37 31 33 Time (s) 70 80 90 100 110 120 Velocity (ft/s) 11 22 21 24 48 40

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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You and a companion are driving a twisty stretch of road in a car with a speedometer but no odometer. To find out
how long this road is, you record the car's velocity at 10-second intervals.
a. Estimate the length of the road using left-endpoint values.
ft
b. Estimate the length of the road using right-endpoint values.
ft
Time (s)
0
10
20
30
40
50
60
Velocity (ft/s)
0
32
46
27
37
31
33
Time (s)
70
80
90
100
110
120
Velocity (ft/s)
11
22
21
24
48
40
Transcribed Image Text:You and a companion are driving a twisty stretch of road in a car with a speedometer but no odometer. To find out how long this road is, you record the car's velocity at 10-second intervals. a. Estimate the length of the road using left-endpoint values. ft b. Estimate the length of the road using right-endpoint values. ft Time (s) 0 10 20 30 40 50 60 Velocity (ft/s) 0 32 46 27 37 31 33 Time (s) 70 80 90 100 110 120 Velocity (ft/s) 11 22 21 24 48 40
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