Topic 10.1: Bisection Method (Questions)

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Question 1

Approximate the root of f(x) = x3 - 3 with the bisection method starting with the interval [1, 2] and use εstep = 0.1 and εabs = 0.1 .

Answer: 1.4375

Question 2

Approximate the root of f(x) = x2 - 10 with the bisection method starting with the interval [3, 4] and use εstep = 0.1 and εabs = 0.1 .

Answer: 3.15625 (you need a few extra steps for εabs)

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