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Q1) The function f(x) = x³ + 6x² − 4x − 2 We want to find a positive root using bisection method. Start with initail guesses of x₁=0 and xâ=1 and iterate the approximate relative error falls below 2%. i 1 "You are required to show all steps to arrive at the answer and fill the following a table to show all results". X1 0 xu 1 Xr f(x₁) f(xu) f(xr) Ea(%)

Q1) The function f(x) = x³ + 6x² − 4x − 2 We want to find a positive root using bisection method. Start with initail guesses of x₁=0 and xâ=1 and iterate the approximate relative error falls below 2%. i 1 "You are required to show all steps to arrive at the answer and fill the following a table to show all results". X1 0 xu 1 Xr f(x₁) f(xu) f(xr) Ea(%)

Advanced Engineering Mathematics
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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Q1) The function f(x) = x³ + 6x² - 4x - 2 We want to find a positive root using bisection method. Start with initail guesses of x₁=0 and xã=1 and iterate the approximate relative error falls below 2%. i 1 "You are required to show all steps to arrive at the answer and fill the following a table to show all results". X1 0 xu 1 Xr f(x₁) f(xu) f(xr) Ea(%)
Transcribed Image Text:Q1) The function f(x) = x³ + 6x² - 4x - 2 We want to find a positive root using bisection method. Start with initail guesses of x₁=0 and xã=1 and iterate the approximate relative error falls below 2%. i 1 "You are required to show all steps to arrive at the answer and fill the following a table to show all results". X1 0 xu 1 Xr f(x₁) f(xu) f(xr) Ea(%)
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