Answered: Q2: Let f(x)=x -x-1, 0

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Q2: Let f(x)=x -x-1, 0

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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Question

Q2: Let f(x)=x -x-1, 0<xs2.
1. Show that f (x) has exactly one real root in the indicated interval.
2. Determine the number of iterations n necessary to get approximation of the root
accurate to within 10* using the Bisection Method.
3. Use the Fixed-Point Iteration Method to approximate the root of f (x) accurate to
within 2x104.
4. Use the Method of False Position to approximate the root of f (x) accurate to within
10-3

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