2. Consider the set of points: (210): (31 _1)1 {5:- 3)' (it) Write a function for Natural Cubic Spline Interpolating Polynomials; with only 3 points. Have as inputs two vectors, x and 3?, that give the 3 points (xi, yi). Output the polynomial eoeiciente for the two splines 30(3) and 31(1). Note: you. do not need to implement the full algorithm in the book. Inetmd you can emote a system of 8 equations with 8 unknonms and solve the linear system (A: = b) aging the command I = Aft) to get your meieiente. (b) Apply your function from (a) to the set of points. Give the cubic splines, 80(3) and 31(33), in your write-up. (e) Plot your splinee found in (b) over the interval [2, 5] with step size 0.01 between points. Include the set of data points on the plot as well