Please code in python or python compatible language

Problem 4- Solving non-linear equation Given the equation solve for the roots f(x) = cos(x/4) - 2x2. Use the bisection method to find the root with a tolerance e = 10-8 on the interval x (-3,0). a) Plot the graph of the function to confirm your choice of the initial guess. b) Perform iterations and report the solution and residual on each iteration. c) How you can evaluate the range of convergence of the Newton and fixed point method? (Do not calculate, just derive expressions for both methods)