Question: Given the data Calculate (4) using Newtons interpolating polynomials of order 1 through 4. Choose your base points to attain good accuracy. What do your

Given the data

Calculate ƒ(4) using Newton’s interpolating polynomials of order 1 through 4. Choose your base points to attain good accuracy. What do your results indicate regarding the order of the polynomial used to generate the data in the table?

|1 2 3 5 fx) 3 6 19 99 291 444 19 99 291 444 6.

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