1. Make a MATLAB program that graphs the second order interpolating polynomial using Lagrange's formula. The inputs of the function should be a,b,z,y where a and b are numbers and z and y are vectors, each of length 3. The variables a and b indicate the interval over which the function will be graphed, and the vectors z and y contain the r and y coordinates of the points through which the polynomial passes. Note that MATLAB does not allow zero indices. 2. Make a MATLAB program the calculates the n-th order divided difference of input ro, will need the length command to identify the size of the input vector. You 3. Make a MATLAB program that calculates the value of the n-th order interpolating polynomial (from Newton's equation) at a given point r. The input should be t and two vectors of interpolating points and the output should be the value of P(t) 4. Make a MATLAB program that graphs the interpolating polynomial. The plot function works like this: s=0:13 sin(s plot (s,t You can type help plot to learn some of the other features, including how to plot in different colors