In this question you compare numerically polynomial interpolation at equally spaced points, polynomial interpolation at the chebyshev points, and cubic spline interpolation. (a) first write a routine that does the following: given an interval [a, b], a function f, and a number n, your code should produce the following three interpolants to the function f: (i) a polynomial interpolant to f at n equidistant points on [a, b]; (ii) a polynom