Question: Sample Question 5 (bisection method). We consider the function f(x) = x3 2x - 1 on the interval [0,3]. - (i) Show that f

Sample Question 5 (bisection method). We consider the function f(x) = x3

Sample Question 5 (bisection method). We consider the function f(x) = x3 2x - 1 on the interval [0,3]. - (i) Show that f has a root p in the interval [0,3]. (ii) Use the bisection method to find p3 (write down all the steps and calculations). (iii) Find the maximum number of iterations n needed by this method to find an approximation p of p up to up to 5.10-6.

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