Problem 3 Let f (:10, y) = 100(y $2)2 + (1 x)2. This is the famed banana function (see wikipedia). The minimum of f is (1,1) (Why?). See the attached R script Prob3' R for code. (a) Starting at the point (4,4) use a xed step size to locate the minimum. Here, since we are minimizing, your direction should be d\") = V f (mm). How many iterations before you nd the minimum