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Homework/Programming 2. (Due Feb 4.) Math. 417 Problem 1. Problem 1, page 75. Do by hand. For the remainder of the problems, use a matlab code for Newtons method to compute the until |f (xi )| < 10−8 . Report the starting iterate and the iteration number and the the end value of xi , when |f (xi )| < 10−8 . Do this for every real zero for every problem below. Do this for the following problems. (1) Problem 2, p.75. (2) Problem 1, parts d/e of page 100. (3) Problem 2, parts a,b,c of page 100. Note you only need to find the real zeros. (4) P (x) = 16x5 − 20x3 + 5x. (5) P (x) = 64(x − 1)7 − 112(x − 1)5 + 56(x − 1)3 − 7x + 7. Hand in the results for the above problems and your matlab code implementing the Newton iteration. 1