For the Newton-Raphson method, the region of attraction (or basin of attraction) for a particular solution is the set of all initial guesses that converge to that solution. Usually initial guesses close to a particular solution will converge to that solution. However, for all but the simplest of multi-dimensional, nonlinear problems, the region of attraction boundary is often fractal. This makes it impossible to quantify the region of attraction and hence to guarantee convergence. Problem 6.25 has two solutions when \(x_{2}\) is restricted to being between \(-\pi\) and \(\pi\). With the \(x_{2}\) initial guess fixed at 0 radians, numerically determine the values of the \(x_{1}\) initial guesses that converge to the Problem 6.25 solution. Restrict your search to values of \(x_{1}\) between 0 and 1.6.4}