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Suppose you want to interpolate the data below with a cubic spline. Given the cubic function s 1 = x 3 - 4 x +

Suppose you want to interpolate the data below with a cubic spline. Given the cubic function s1 = x3 - 4x + 3 for the interval 0 < x < 2 and the cubic function given by s2 = A(x-2)3 + B(x-2)2 + C(x-2) + D for the interval 2 < x < 4. Calculate the value of the coefficient A that ensures (along with appropriate values of B, C, and D) these two functions form a spline. Enter your answer to four decimal places.

x 0 2 4
y -1.0 3.0 5.5

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