Suppose you have the following data: (0,1.0000), (0.25, 1.2840), (0.50, 1.6487), (0.75, 2.1170) and (1.00, 2.7183)...

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Suppose you have the following data: (0,1.0000), (0.25, 1.2840), (0.50, 1.6487), (0.75, 2.1170) and (1.00, 2.7183) . (a) Find a polynomial P(r) of degree 2 that fits the data with the minimal approximation error. (b) Calculate this error. (c) Sketch these discrete points and the graph of the polynomial P(1) in a figure using MATLAB. Suppose you have the following data: (0,1.0000), (0.25, 1.2840), (0.50, 1.6487), (0.75, 2.1170) and (1.00, 2.7183) . (a) Find a polynomial P(r) of degree 2 that fits the data with the minimal approximation error. (b) Calculate this error. (c) Sketch these discrete points and the graph of the polynomial P(1) in a figure using MATLAB.

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