Question: 4. Given f(x) = 4+ 8 - r. (a) Show that f(x) has a zero in the interval [2, 4]. (b) Perform three iterations of

4. Given f(x) = 4+ 8 - r. (a) Show that f(x) has a zero in the interval [2, 4]. (b) Perform three iterations of Newton's method f(In ) f'(In ) to find an approximate root of the equation f(a) = 0 taking an initial approxi- mation of r = 3. (c) What would happen if the initial approximation is chosen as I = 2

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