Question: Given the data points I 01 2 4 6 JO) 1 9 23 93 259 a) Construct divided difference table. b) Construct a program

Given the data points I 01 2 4 6 JO) 1 9

Given the data points I 01 2 4 6 JO) 1 9 23 93 259 a) Construct divided difference table. b) Construct a program implementing the divided difference for part a with Python c) Determine fat 4.2, using Newton's interpolation polynomial (Hint: using the table in part a, find interpolating polynomial via divided difference method).

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