he 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) 181.9 10 167.0 20 106.6 30 98.8 40 125.5 50 175.1 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 2.383 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 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 an upper estimate and the estimate in part (b) is a lower estimate.
he 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) 181.9 10 167.0 20 106.6 30 98.8 40 125.5 50 175.1 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 2.383 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 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 an upper estimate and the estimate in part (b) is a lower estimate.
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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