##
3.11 Challenge Problems

1. Write a program (in Scilab, C, etc.) that will perform the following calculation.

2. Develop a program to fit a polynomial to set set of points. In the case where the order of the polynomial does not allow an exact fit, a least squares method should be used to obtain the best fit.

3. Write a program in Scilab (ask if you would prefer to use another platform). The program should use the Newton-Raphson method to find the zeros of an arbitrary function. The functions below should be used for testing the program. The final program will be tested for robustness. The final program should be structured.