The table below shows speedometer readings at 10-minute intervals during a 30-minute period of the Tour de France bike race. t (min) v (km/hr) 10 20 30 30 20 35 50 1. Use a left rectangle approximation with 3 rectangles, L3, to estimate the distance travelled by the racer over this 30-minute period. You may assume the racer's velocity is always positive. (Note that t is measured in minutes whereas v is measured in kilometres per hour.) 2. Now use a right rectangle approximation with 3 rectangles, R3, to estimate the distance travelled by the racer over this 30-minute period.
The table below shows speedometer readings at 10-minute intervals during a 30-minute period of the Tour de France bike race. t (min) v (km/hr) 10 20 30 30 20 35 50 1. Use a left rectangle approximation with 3 rectangles, L3, to estimate the distance travelled by the racer over this 30-minute period. You may assume the racer's velocity is always positive. (Note that t is measured in minutes whereas v is measured in kilometres per hour.) 2. Now use a right rectangle approximation with 3 rectangles, R3, to estimate the distance travelled by the racer over this 30-minute period.
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:The table below shows speedometer readings at 10-minute intervals during a 30-minute period
of the Tour de France bike race.
t (min)
v (km/hr) || 30
10
20
30
20
35
50
1. Use a left rectangle approximation with 3 rectangles, L3, to estimate the distance
travelled by the racer over this 30-minute period. You may assume the racer's velocity is
always positive. (Note that t is measured in minutes whereas v is measured in kilometres
per hour.)
2. Now use a right rectangle approximation with 3 rectangles, R3, to estimate the distance
travelled by the racer over this 30-minute period.
3. Isit possible that the cyclist travelled further than both of your estimates in (a) and (b)?
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