Use a Divided difference scheme to predict the position of the car and its speed when t = 10s. Use the derivative of the polynomial to determine whether the car ever exceeds a 55 mi/h speed limit on the road. If so, what is the first time the car exceeds this speed?
Use a Divided difference scheme to predict the position of the car and its speed when t = 10s. Use the derivative of the polynomial to determine whether the car ever exceeds a 55 mi/h speed limit on the road. If so, what is the first time the car exceeds this speed?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.5: Algebraic Expressions
Problem 94E: DISCUSS: Degrees of Sums and Products of Polynomials Make up several pairs of polynomials, then...
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NUMERICAL ANALYSIS (please solve it by Divided difference scheme , not by Hermite polynomial )
A car traveling along a straight road is clocked at a number of points. The data from the observations are given in the following table, where the time is in seconds, the distance is in feet, and the speed is in feet per second.
Time |
0 |
3 |
5 |
8 |
13 |
Distance |
0 |
225 |
383 |
623 |
993 |
Speed |
75 |
77 |
80 |
74 |
72 |
- Use a Divided difference scheme to predict the position of the car and its speed when t = 10s.
- Use the derivative of the polynomial to determine whether the car ever exceeds a 55 mi/h speed limit on the road. If so, what is the first time the car exceeds this speed?
- What is the predicted maximum speed for the car using appropriate coding scheme
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