Using Newton's Divided Difference Interpolation, find the 3rd , 4th and 5th order interpolating polynomial.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 11SC: Find the mean hourly cost when the cell phone described above is used for 240 minutes.
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Using Newton's Divided Difference Interpolation, find the 3rd , 4th and 5th order interpolating polynomial. Determine and compare each value of the velocity at  t=33 sec for the data  shown below. 

The upward velocity of a rocket is given as a function of time in Table below:

Time (s)
10
15
20
22.5
30
36
Velocity (m/s)
227.04
362.78
517.35
602.97
901.67
1601.65
Transcribed Image Text:Time (s) 10 15 20 22.5 30 36 Velocity (m/s) 227.04 362.78 517.35 602.97 901.67 1601.65
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