Determine whether there is a choice of coefficients {a, b, c, d} for which the following function is a cubic spline. S(x) = S0(x) = 2(x + 1)^3 − (x + 1)^2 , −1 ≤ x ≤ 0           S1(x) = ax^3 + bx^2 + cx + d     , 0 ≤ x ≤ 1           S2(x) = (x − 1)^3 + 6                   , 1 ≤ x ≤ 2

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A: Please refer to the image below

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A: Here is the solution

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