Consider a set of points (i,)nci such that zo< function s defined by s(x) = s(e ) for x e[,, 1where the s, are (of course) cubic polynomials (3.3) in, and a piecewise cubic polynomial (a) wnte down all the conditions to be satısfied for s to be a natural cubic spline (b) the function s 1s defined by 3-3 2 (3 so() si (x) if 0 2 f 2 4 s() = 12r236) is s a natural cubic spline? justify your answer