Modeling Data a straight track. It starts from rest, and its velocity v (in meters per second) is recorded every 10 seconds for 1 minute (see table). An experimental vehicle is tested on 20 10 30 40 50 60 21 40 62 78 83 (a) Use a graphing utility to find a model of the form at3 + bt? + ct + d for the data. (b) Use a graphing utility to plot the data and graph the model. (c) Approximate the distance traveled by the vehicle during the test.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 18E
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Calculus 11th Edition - Ron Larson

Chapter 4.4 - The Fundamental Theorem of Calculus

Please solve the following probelm & show work explaining each step. Thank you (a, b, c):

 

Modeling Data
a straight track. It starts from rest, and its velocity v (in
meters per second) is recorded every 10 seconds for 1 minute
(see table).
An experimental vehicle is tested on
20
10
30
40
50
60
21
40
62
78
83
(a) Use a graphing utility to find a model of the form
at3 + bt? + ct + d for the data.
(b) Use a graphing utility to plot the data and graph the model.
(c) Approximate the distance traveled by the vehicle during
the test.
Transcribed Image Text:Modeling Data a straight track. It starts from rest, and its velocity v (in meters per second) is recorded every 10 seconds for 1 minute (see table). An experimental vehicle is tested on 20 10 30 40 50 60 21 40 62 78 83 (a) Use a graphing utility to find a model of the form at3 + bt? + ct + d for the data. (b) Use a graphing utility to plot the data and graph the model. (c) Approximate the distance traveled by the vehicle during the test.
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