Question: please do part a by hand, showing all work thank you. You are given the following errorless data set: (a) Use nearest neighbour interpolation to

please do part a by hand, showing all work thank you.

You are given the following errorless data set: (a) Use nearest neighbour interpolation to find f(x) for the following x values: 2.8, 4.4, and 7.1 (2 marks) (b) Write a MATLAB user-defined function to perform interpolation based on the closest 2, 3, and 4 points using Lagrangian interpolating polynomials (5 marks) (c) Run your function/script on the x values given in a) for the closest 2-, 3-, and 4-point Lagrangian interpolating polynomial ( 3 marks)

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