Write a Matlab program to calculate the following:

A- Root finding by the next methods:

1. Drawing.

2. Fixed point iteration.

3. Bisection.

4. Newton Raphson.

5. False position.

B- Interpolation and extrapolation by the next methods:

a. Newton forward.

b. Newton backward.

c. Lagrange method.

d. Splines.

C- The program should continue running and execute the selected methods until the user choose to exit the program. Every method should represent by one or more function, and all of methods functions should be called by a main function.