USING PYTHON DO THE FOLLOWING

12. We again consider the weakened RosENBROCK function f: R2R defined by f(x) := 10 (x224)2 + (1-2:1)2. a) Plot the level curves of f and the level curves of the quadratic ap- proximation of f at the point zo (0,-1)7. b) Calculate the solutions to the quadratic minimization problem ) := f(zo) for the trust regions with the radii Ao0.25, 0.75, 1.25. c) Repeat a) and b) for zo: (0,0.5)