This problem considers the function                                 (a) For what values of  and , if any, is ( ) a cubic spline for −1 ≤  ≤ 1? These values are to be used in the remainder of this...

This problem considers the function

(a) For what values of
 and, if any, is
() a cubic spline for −1 ≤
 ≤ 1? These values are to be used in the remainder of this problem.

(b) What were the data points that gave rise to this cubic spline?

(c) For what values of
 and
 is
() a natural cubic spline?

(d) For what values of
 and
 is
() a clamped cubic spline?