In this problem, you will use Simpson's rule and a CAS to approximate the arc We will start by defining the ellipse with the following parametric equations (9) y(0) 4.7 sin 4.5 cos For accuracy reasons, it makes most sense to calculate the length from 0 to and multiply by four. (Why is this true?) First, show that L AI where I is an integral from 0 to 2 Now, with n 8 use Simpson's rule to approximate I and L. Note, you are asked to report the approximate value of the total circumerenece L.) Report answer accurate to 4 decimal places.) Now, find the approximate length using a CAS. How do your numbers compafe In this problem, you will use Simpson's rule and a CAS to approximate the arc We will start by defining the ellipse with the following parametric equations (9) y(0) 4.7 sin 4.5 cos For accuracy reasons, it makes most sense to calculate the length from 0 to and multiply by four. (Why is this true?) First, show that L AI where I is an integral from 0 to 2 Now, with n 8 use Simpson's rule to approximate I and L. Note, you are asked to report the approximate value of the total circumerenece L.) Report answer accurate to 4 decimal places.) Now, find the approximate length using a CAS. How do your numbers compafe