Find a bound for the number of iterations needed to achieve an approxima-tion with accuracy 10-3 to the solution of each of the following equationsin the given interval while using bisection method:(i) x³ + x – 4 = 0 in the interval [1, 4](ii) x³ – x – 1 = 0 in the interval [1,2]

(i) Let f(x)=x3+x-4 in [1,4] 1stIteration: Find the value of f(x) at x=1, x=4…

Answered: Find a bound for the number of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Find a bound for the number of iterations needed to achieve an approxima- tion with accuracy 10-3 to the solution of each of the following equations in the given interval while using bisection method: (i) x³ + x – 4 = 0 in the interval [1, 4] (ii) x³ – x – 1 = 0 in the interval [1, 2]