Question: Please solve all parts in MATLAB and explain code You are given the following errorless data set: X 12 3 5 7 8 f(x) 36

Please solve all parts in MATLAB and explain code You are

Please solve all parts in MATLAB and explain code

You are given the following errorless data set: X 12 3 5 7 8 f(x) 36 1999 291 444 a. Use nearest neighbour interpolation to find f(x) for the following x values: 2.8, 4.4, and 7.1 b. Implement a MATLAB function or script to perform interpolation based on the closest 2, 3, and 4 points using Lagrangian interpolating polynomials C. Run your function/script on the x values given in a) for the closest 2-, 3-, and 4-point Lagrangian interpolating polynomial

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