Question 1a. A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds. (Round your answer to three decimal places.) t(s) v (m/s) 0 0.5 1.0 1.5 2.0 m 2.5 0 4.61 7.34 8.88 9.79 10.28 t(s) v (m/s) 3.0 1:30 3.5 4.0 4.5 5.0 10.53 10.69 10.72 10.83 b. The table below gives the power consumption P in megawatts in a county from midnight to 6:00 a.m. on a day in December. Use Simpson's rule to estimate the energy used during that time period. (Use the fact that power is the derivative of energy. Round your answer to one decimal place. megawatt-hours 10.83 tp t P 0:00 1,814 3:30 1,611 0:30 1,731 4:00 1,627 1:00 1,684 4:30 1,668 1,644 5:00 1,745 2:00 1,635 5:30 1,884 2:30 1,609 6:00 2,058 3:00 1,608
Question 1a. A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds. (Round your answer to three decimal places.) t(s) v (m/s) 0 0.5 1.0 1.5 2.0 m 2.5 0 4.61 7.34 8.88 9.79 10.28 t(s) v (m/s) 3.0 1:30 3.5 4.0 4.5 5.0 10.53 10.69 10.72 10.83 b. The table below gives the power consumption P in megawatts in a county from midnight to 6:00 a.m. on a day in December. Use Simpson's rule to estimate the energy used during that time period. (Use the fact that power is the derivative of energy. Round your answer to one decimal place. megawatt-hours 10.83 tp t P 0:00 1,814 3:30 1,611 0:30 1,731 4:00 1,627 1:00 1,684 4:30 1,668 1,644 5:00 1,745 2:00 1,635 5:30 1,884 2:30 1,609 6:00 2,058 3:00 1,608
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Question 1a. A radar gun was used to record the speed of a runner during the first 5
seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner
covered during those 5 seconds. (Round your answer to three decimal places.)
t (s) v (m/s)
0
0.5
1.0
1.5
2.0
m
2.5
0
4.61
7.34
8.88
9.79
10.28
0:00
P
t (s) v (m/s)
3.0
3.5
4.0
4.5
5.0
3:00 1,608
t
10.53
b. The table below gives the power consumption P in megawatts in a county from midnight to 6:00 a.m.
on a day in December. Use Simpson's rule to estimate the energy used during that time period. (Use the
fact that power is the derivative of energy. Round your answer to one decimal place.
10.69
10.72
10.83
10.83
1,814 3:30 1,611
P
0:30 1,731 4:00 1,627
megawatt-hours
1:00 1,684 4:30 1,668
1:30 1,644 5:00 1,745
2:00 1,635 5:30 1,884
2:30 1,609 6:00 2,058
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