Consider the following date points Use the Lagrange Interpol

Consider the following date points: Use the Lagrange Interpolating polynomial to estimate f(2). Use a Table for Divided-Differences (by hand) to construct the Newton interpolating polynomial for the data and use the Newton interpolating polynomial to estimate f(2). Use the M-files from Figure 17.9 and 17.7 to check your results in (a) and (b) respectively, with Matlab. As part of your answer, include a printout of the Matlab code used, or write the commands out by hand. You do not need to in clued the M- file from the Figures, unless you have made modifications.

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