Question: Question: Write a Python program to construct Newton's Divided difference interpolating polynomial to approximate f(2.7) using the following data from the table. 2 3 X

Question: Write a Python program to construct Newton's Divided difference interpolating polynomial to approximate f(2.7) using the following data from the table. 2 3 X 2.5 3.5 4 0.6932 0.9163 1.0986 1.3672 1.5728 1) Find out the divided differences and print them as a table. 2) Print the approximate value of the function for the given value of x(use 4 digit rounding)

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