Question: Study function 4f(x1,x2):=x13+2x23-27x1-6x2.(a) Start at the point (0,0)T and solve the problem using steepest descent and Newton'smethod (unit step). Why does not Newton's method work?

Study function 4f(x1,x2):=x13+2x23-27x1-6x2.(a) Start at the point (0,0)T and solve the problem using steepest descent and Newton'smethod (unit step). Why does not Newton's method work? Try the Levenberg-Marquardtmodification and study that method's behaviour.(b) Start at some arbitrarily chosen points. How many stationary points do you find?Which kinds of stationary points?

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