Question: I ONLY NEED 5.2 COMPLETED, 5.1 IS SHOWN FOR THE DATA NEEDED FOR 5.2. COMPLETE BY HAND USE MATLAB SPLINES TO CHECK. Problems 5.1. Using

I ONLY NEED 5.2 COMPLETED, 5.1 IS SHOWN FOR THE DATA NEEDED FOR 5.2. I ONLY NEED 5.2 COMPLETED, 5.1 IS SHOWN FOR THE DATACOMPLETE BY HAND USE MATLAB SPLINES TO CHECK.

Problems 5.1. Using the method of undetermined coefficients, derive an interpolating polynomial f(x) of the form a+bx, for the following data. Determine the interpolated value of f(0.52). x 0.45 0.55 0.65 0.75 y 0.075 0.136 0.227 0.372 5.2. For the same data as in Problem 5.1, use the method of undetermined coefficients to derive an interpolating polynomial f(x) of form a + bx + cx2. Calculate f(0.63). Check your results against functions obtained with MATLAB splines. Present these comparisons as MATLAB plots with proper labels and titles

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