Write a Matlab program to solve (at least one of) the follwoing problem Exercise I: Use Newton's forward difference interpolation to approximate f(23) for the function f(x)= 1+x21 on the interval (0,1] with the step size: (a) h=41 (b) h=81 (c) h=161 Exercise II: Use Newton's backward difference interpolation to approximate f(23) for the function f(x)= 1+x21 on the interval [0,1] with the step size: (a) h=41 (b) h=81 (c) h=161 Exercise III: Use Lagrange interpolation to approximate f(23) for the function f(x)=1+x21 on the interval [0,1] with the step size: (a) h=41 (b) h=81 (c) h=161 Exercise IV: Use Newton's divided difference to approximate f(23) for the function f(x)= 1+x21 on the interval [0,1] with the step size: (a) h=41 (b) h=81 (c) h=161 Summery: (a) Complete the following table for approximating f(23)=