Question: 5.1 Using the method of undetermined coefficients, derive an interpolation polynomial f(x) of the form a +bx, for the following data. Determine the interpolation value

5.1 Using the method of undetermined coefficients, derive an interpolation polynomial f(x) of the form "a +bx", for the following data. Determine the interpolation value of f(0.52).

x 0.45 0.55 0.65 0.75

y 0.075 0.136 0.227 0.372

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