(i) Show, using calculus (meaning do not simply use graphs) and the Fixed Point Theo- rem, that the function g(x) = - 1 (x − 2)³ +2 16 has a unique fixed point in the interval [1,4]. (ii) Use the first corollary to the Fixed Point Theorem given in Lecture 4 to calculate how many iterations of the fixed point method, starting with po 3.2, would be required to guarantee that the absolute error p - Pn| < 10-6. Do NOT actually use the fixed point method.

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