Question: Determine all the values of a, b, c, d, e for which the following function is a cubic spline: falx-2) +b(x-1) xE (-00, 1]

Determine all the values of a, b, c, d, e for which the following function is a cubic spline: falx-2) +b(x-1) xE (-00, 1] fx) = {c(x - 2)? d(x-2) +e(x - 3)' x (3, 00) x (1,3] Next, determine the values of the parameters so that the cubic spline interpolates this table: 1| 4 26 1 25

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