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4. Consider the function f(r) = r 6. (a) Find the zeros of f. (b) Considering ro = 3, use Newton's method to find

4. Consider the function f(r) = r 6. (a) Find the zeros of f. (b) Considering ro = 3, use Newton's method to find ri and r2. (c) Considering ro = 3 and r = 2, use the Secant method to find r2. (d) Which one between the 2 previous methods is closer to the exact solution ? (e) How would you guarantee convergence of Newton's method ?

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