Write Matlab programs that implement the following methods
   for solving a nonlinear equation (in one variable):
   - Newton
   - Newton Raphson
   - Secant
   - Bisection
   
   Apply each of the methods to solve the equation

   f(x) = x*x - 4*sin(x) = 0

   (where * stands for multiplication, and x*x is x squared).

   The initial guess is x0 = 1.5. For the bisection method use the 
   starting interval [1,2].

   For each method:
   - record the approximate solutions x at each iteration. 
   - record the function value f(x) for each iteration.
   - plot the absolute value of the function value versus the number of iterations
   - plot the error in the approximate solution versus the number of iterations.

  Use a semilogarithmic plot (semilogy in Matlab). You can use other languages for
  the implementation as well.

  Discuss in detail the results. How fast are the methods converging?