is a natural cubic spline.
9. A parabolically terminated cubic spline is made up of
segments $s_1(x)$, $s_2(x)$, $s_3(x)$ on $[0, 1]$, $[1, 2]$ and $[2, 3]$
respectively. It passes through the points $(0, 2)$, $(1, 3)$, and
$(2, 5)$. If $s_1'(0) = 0$, find $s_1(x)$, $s_2(x)$, and $s_3(x)$ and the value of the
spline when $x = 3$