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Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in North America can be found on the Great Plains in the state of North Dakota on state high- way 46, which lies just south of the interstate highway I-94 and runs through the town of Gackle. A car leaves town (at time t = 0) and heads east on highway 46; its posi- tion in miles from Gackle at time f in minutes is given by the graph of the function in Figure 1.5.1. Three important points are labeled on the graph; where the curve looks linear, assume that it is indeed a straight line. d. Estimate the instantaneous rate of change of the car's position at the moment t = 80. Write a sentence to explain your reasoning and the meaning of this

Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in North America can be found on the Great Plains in the state of North Dakota on state high- way 46, which lies just south of the interstate highway I-94 and runs through the town of Gackle. A car leaves town (at time t = 0) and heads east on highway 46; its posi- tion in miles from Gackle at time f in minutes is given by the graph of the function in Figure 1.5.1. Three important points are labeled on the graph; where the curve looks linear, assume that it is indeed a straight line. d. Estimate the instantaneous rate of change of the car's position at the moment t = 80. Write a sentence to explain your reasoning and the meaning of this

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in North America can be found on the Great Plains in the state of North Dakota on state high- way 46, which lies just south of the interstate highway I-94 and runs through the town of Gackle. A car leaves town (at time t = 0) and heads east on highway 46; its posi- tion in miles from Gackle at time f in minutes is given by the graph of the function in Figure 1.5.1. Three important points are labeled on the graph; where the curve looks linear, assume that it is indeed a straight line. d. Estimate the instantaneous rate of change of the car's position at the moment t = 80. Write a sentence to explain your reasoning and the meaning of this
Transcribed Image Text:Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in North America can be found on the Great Plains in the state of North Dakota on state high- way 46, which lies just south of the interstate highway I-94 and runs through the town of Gackle. A car leaves town (at time t = 0) and heads east on highway 46; its posi- tion in miles from Gackle at time f in minutes is given by the graph of the function in Figure 1.5.1. Three important points are labeled on the graph; where the curve looks linear, assume that it is indeed a straight line. d. Estimate the instantaneous rate of change of the car's position at the moment t = 80. Write a sentence to explain your reasoning and the meaning of this
value. (104, 106.8) 100 80 (57,63.8) 60+ (68, 63.8) 40+ 20- 20 40 60 80 100 Figure 1.5.1: The graph of y = s(t), the position of the car along highway 46, which tells its distance in miles from Gackle, ND, at time t in minutes.
Transcribed Image Text:value. (104, 106.8) 100 80 (57,63.8) 60+ (68, 63.8) 40+ 20- 20 40 60 80 100 Figure 1.5.1: The graph of y = s(t), the position of the car along highway 46, which tells its distance in miles from Gackle, ND, at time t in minutes.
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