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Need this question answered in Matlab showing the code. Use the method describe in the problem, I attached a second picture that shows the pseudo

Need this question answered in Matlab showing the code. Use the method describe in the problem, I attached a second picture that shows the pseudo code that you should follow. Thanks. Ill give thumbs up for correct answer.
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QUESTION 1: (Problem 17.4) (a) Calculate f (3.4) using Newton's interpolating polynomials of order 1 through 3. Choose the sequence of the points for your estimates to attain the best possible accuracy. That is, the points should be centered around and as close as possible to the unknown. 2 5 2.5 6.5 4 f(x) 0 7

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