Repeat Exercise 32, constructing three natural splines using Algorithm 3.4.
In Exercise 32
The upper portion of this noble beast is to be approximated using clamped cubic spline interpellants. The curve is drawn on a grid from which the table is constructed. Use Algorithm 3.5 to construct the three clamped cubic splines.

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3 Slope 4 f(x) A Slope 3 Slope 3 Slope 1 Slope 3 3 Curve 2 Curve 3 Slope 2 Curve 1 20 25 30 r 10 15 urve Curve 2 urve 4.5 7.0 3.0 27.7 4.1 4.3 1.0 0 17 0.33 3.7 3.9 3 64.2 5.7 6.6 1 20 2 23 6.1 3 24 4 25 5.8 5 27 6 27.7 4.1 28 2 29 3 30 3.0 4 5.2 6 10 7 13 8 17 -4.0 -0.67