The velocity of a car was read from its speedometer at 2-hour intervals and recorded in the table. t(h) 4 10 12 v (mi/h) 38 52 58 55 51 56 53 a) What does Jo dt represent? Explain in plain English that someone not familiar with calculus can understand. b) Use the Midpoint Rule approximation with 3 subintervals on the time interval 0

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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The velocity of a car was read from its speedometer at 2-hour intervals and recorded in the table.
t(h)
v (mi/h)
2
4
61
10
12
38
52
58
55
51
56
53
a) What does Jo dt represent? Explain in plain English that someone not familiar with calculus can understand.
b) Use the Midpoint Rule approximation with 3 subintervals on the time interval 0<t< 12 to approximate Jo v(t) dt. That is, approximate the integral
with M3
Transcribed Image Text:The velocity of a car was read from its speedometer at 2-hour intervals and recorded in the table. t(h) v (mi/h) 2 4 61 10 12 38 52 58 55 51 56 53 a) What does Jo dt represent? Explain in plain English that someone not familiar with calculus can understand. b) Use the Midpoint Rule approximation with 3 subintervals on the time interval 0<t< 12 to approximate Jo v(t) dt. That is, approximate the integral with M3
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