Given the data x 123 5 6 f(x) 7 4 5.5 40 82 Calculate f (4) using Newtons interpolating
Chapter 17, Problem 17.5(choose chapter or problem)
Given the data x 123 5 6 f(x) 7 4 5.5 40 82 Calculate f (4) using Newtons interpolating polynomials of order 1 through 4. Choose your base points to attain good accuracy. That is, the points should be centered around and as close as possible to the unknown. What do your results indicate regarding the order of the polynomial used to generate the data in the table?
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