**Unformatted text preview: **h ( x ) = 17 16 2 x 2 x 4 . This function has two real zeros. One is at x = r , where r is between 0 and 2, and the other root is at x = r (since h is an even function). (a) Plot a graph of the function h ( x ) on the interval [ 2 , 2 ]. (b) Write in complete sentences an explanation why Newton’s methods fails if x = 0.5 is used an an initial approximation to the root r . (c) Estimate the root r to eight places of accuracy, by starting with x 1 = 2. Mathematica...

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