) Estimate the distance (in mi) the race car traveled during this time period using the velocities at the beginning answer to three decimal places.) the time intervals. (Round your mi ) Give another estimate (in mi) using the velocities at the end of the time periods. (Round your answer to three decimal places.) mi ) Are your estimates in parts (a) and (b) upper and lower estimates? Explain. O The velocity is increasing on the given interval, so the estimate in part (a) is an upper estimate and the estimate in part (b) is a lower estimate. O The velocity is decreasing on the given interval, so the estimate in part (a) is a lower estimate and the estimate in part (b) is an upper estimate. O The velocity is neither increasing nor decreasing on the given interval, so the estimates in parts (a) and (b) are neither upper nor lower estimates. O The velocity is decreasing on the given interval, so the estimate in part (a) is an upper estimate and the estimate in part (b) is a lower estimate.
) Estimate the distance (in mi) the race car traveled during this time period using the velocities at the beginning answer to three decimal places.) the time intervals. (Round your mi ) Give another estimate (in mi) using the velocities at the end of the time periods. (Round your answer to three decimal places.) mi ) Are your estimates in parts (a) and (b) upper and lower estimates? Explain. O The velocity is increasing on the given interval, so the estimate in part (a) is an upper estimate and the estimate in part (b) is a lower estimate. O The velocity is decreasing on the given interval, so the estimate in part (a) is a lower estimate and the estimate in part (b) is an upper estimate. O The velocity is neither increasing nor decreasing on the given interval, so the estimates in parts (a) and (b) are neither upper nor lower estimates. O The velocity is decreasing on the given interval, so the estimate in part (a) is an upper estimate and the estimate in part (b) is a lower estimate.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:The table shows speedometer readings at 10-second intervals during a 1-minute period for a car racing at the Daytona International Speedway in Florida.
Time (s)
Velocity (mi/h)
183.9
10
168.0
20
106.6
30
100.8
40
124.5
50
177.1
60
175.6
(a) Estimate the distance (in mi) the race car traveled during this time period using the velocities at the beginning of the time intervals. (Round your
answer to three decimal places.)
mi
(b) Give another estimate (in mi) using the velocities at the end of the time periods. (Round your answer to three decimal places.)
mi
(c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain.
O The velocity is increasing on the given interval, so the estimate in part (a) is an upper estimate and the estimate in part (b) is a lower estimate.
O The velocity is decreasing on the given interval, so the estimate in part (a) is a lower estimate and the estimate in part (b) is an upper
estimate.
O The velocity is neither increasing nor decreasing on the given interval, so the estimates in parts (a) and (b) are neither upper nor lower
estimates.
O The velocity is decreasing on the given interval, so the estimate in part (a) is an upper estimate and the estimate in part (b) is a lower
estimate.
O The velocity is increasing on the given interval, so the estimate in part (a) is a lower estimate and the estimate in part (b) is an upper estimate.
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