1) Given data 1.6 2 8 4.5 f(x) 2 2 a) Calculate f(2.9) using Newton's interpolating polynomials of order 1 through 3. Choose the sequence of the points for your estimates to attain the best possib accuracy 2.5 14 3.2 15 4 8 b) Utilize eq. (18.18) to estimate the error for each prediction *note: eq 18.18 in chapra book 2) Develop the quadratic splines for the first 5 data points in problem (1) and predict (3. and f(2.3)

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