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Exercises 23.4 Homework
1.
(Theoretical) Complete the following formula for a clamped spline with boundary conditions \(S'(0) = -1\) and \(S'(3) = 6\text{:}\)
\begin{equation*}
S(x)=\begin{cases} \dots & 0\le x\le 1,\\
5 - 2x + x^3 & 1\le x\le 2,\\
\dots & 2\le x\le 3\end{cases}
\end{equation*}
2.
Adapt
Example 23.3.1 to find and plot the
inflection points of the same cubic spline (these are the points where the second derivative is zero.)
