Question: Please answer in Python only! (20 pts) Task 2: Consider the following nonlinear function, f(x)=(x11)2+(x12x2)2 Suppose that the initial guess x0=[33] and the convergence threshold

Please answer in Python only!

Please answer in Python only! (20 pts) Task 2: Consider the following

(20 pts) Task 2: Consider the following nonlinear function, f(x)=(x11)2+(x12x2)2 Suppose that the initial guess x0=[33] and the convergence threshold is set to 0.01, please perform the following methods to minimize the function Gradient Descent method with an appropriate step length Newton's method Please also obtain and compare, number of iterations used to reach convergence the values of x1 and x2 at convergence the function values at convergence

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