A clamped cubic spline s for a function f is defined on [1,3] by So(x) =...

 

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A clamped cubic spline s for a function f is defined on [1,3] by So(x) = 3(x - 1) + 2(x - 1)? - (x- 1)', s(x) = if 1<x< 2, $1 (x) = a+ b(x - 2) + c(x - 2)2 + d(x- 2), if 2 <x < 3. Given f'(1) = f (3), find a, b, c, and d. A clamped cubic spline s for a function f is defined on [1,3] by So(x) = 3(x - 1) + 2(x - 1)? - (x- 1)', s(x) = if 1<x< 2, $1 (x) = a+ b(x - 2) + c(x - 2)2 + d(x- 2), if 2 <x < 3. Given f'(1) = f (3), find a, b, c, and d.