Question 1: In this question, you will consider the Booth function defined f(x1,x2) = (x1+ 2x2...

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Question 1: In this question, you will consider the Booth function defined f(x1,x2) = (x1+ 2x2 - 7) + (2x1 + x2-5). Implement your algorithm to minimize the Booth function in a sing interactive Python notebook using "Newton-CG" algorithm ("Newton-C method in scipy.optimize.minimize function). Your notebook should include least the following function definition that takes the starting point (defin as a numpy array, for example, np.array([0, 0])) and returns the solution four def minimize_Booth(x0): #implement your algorithm here return(x star, obj star) Question 1: In this question, you will consider the Booth function defined f(x1,x2) = (x1+ 2x2 - 7) + (2x1 + x2-5). Implement your algorithm to minimize the Booth function in a sing interactive Python notebook using "Newton-CG" algorithm ("Newton-C method in scipy.optimize.minimize function). Your notebook should include least the following function definition that takes the starting point (defin as a numpy array, for example, np.array([0, 0])) and returns the solution four def minimize_Booth(x0): #implement your algorithm here return(x star, obj star)