PYTHON HELP:

= - 2 10 points. Set f(x) = 0.1x2 cos(2x) + 1. Plot the function over the interval (-10, 10). Use the following three methods from the scipy optimize module to find the minimum of the given function: First, using optimize.minimize with the default method, then using optimize.minimize specifying the method to be Nelder-Mead', and finally using the op- timize.dual annealing function. For the first two, use xo = 10 as the initial point, and for dual annealing use the bounds [[-20, 20]] (note that the 'bounds' parameter needs to be passed in double brackets like this, and passing them in single brackets will give you an error). In your original plot, visibly plot the solutions you obtained from these three methods (e.g. via plt.scatter). Which method found the best point