1. Obtain the cubic spline fit for the data \begin{tabular}{|1|1|1|1|1|} \hline$X$ & 0&1& 2 & 3 \hline$f(x)$& 1 & 4 & 10 & 8 \hline \end{tabulary Under the end conditions $f^{\prime \prime})=0=f^{\prime \prime} (3)$, valid in the interval $[1,2]$. Obtain the estimate of $f(1.5)$. CS.JG.062