4. (5 points) You wish to numerically approm'mate 5 :rsinzr: do: 0 using Simpson's Rule. Find a value of n such that your error will be no more than = 00004. As always, fully justify your answer. The theorem we learned bounding the error from Simpson's Rule is given below for reference. [f |f(4)($)| S L for all a S a: s b, then the total error introduced by Simpson's rule when approximating I: f (:r)d:c is bounded by a (b at 180 n4 where n is the number of intervals used (half the number of approximating parabolas)