Hands-on-Solving Nonlinear Equations with MATLAB I

1. We have given the following function;
   
   $$f(x)=3x + sin(x) - e^x$$
   
   
   The MATLAB program for the algorithm (see the lecture notes; an algorithm for halving the interval (Bisection)) is given.

   
   
   save with the name mybisec.m. Then;

   
   
   Modify this MATLAB program for the bisection method for using a tolerance value of 1E-4 (see next page).

   
   save with the name modbisect.m. Then (see next page);

   
2. Now, we have given the following function;
   
   $$f(x)=x^6 -x -1=0$$
   
   
   Apply all the procedures you studied above to find the root(s) of this function by modifying the given codes (Interval Halving (bisect.m) and Newton's (newton.m) methods).