Question # 44: Consider the following data set generated by a function, f (x) X f (x) 0.0 0.2 0.4 1.01 1.22 1.50 1. " Find the interpolating polynomial for the above data of appropriate order using Newton's Divided/Difference method. 2. Use the interpolating polynomial to find the approximate value of f (0.35). 3. ! Add a data point f (0.7) = 1.82to the given data, and find the new interpolating polynomial that includes this new data point.

Q: f'(x) = V= and f(1) = 3- I|

A: Explanation of the answer is as follows

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