Apply six decimal place rounding where applicable W 27 The equation f(x)=x²-18 = 0 has root near x = 4. a) Apply four iterations of the Secant Method, taking the initial approximations x₁ = 2.5 and x₂ = 3.5, to approximate the value of this root. Tabulate your iterations like in the lecture notes. b) Determine the number of significant digits to which the last iteration's x3-value approximates the true solution of the equation.
Apply six decimal place rounding where applicable W 27 The equation f(x)=x²-18 = 0 has root near x = 4. a) Apply four iterations of the Secant Method, taking the initial approximations x₁ = 2.5 and x₂ = 3.5, to approximate the value of this root. Tabulate your iterations like in the lecture notes. b) Determine the number of significant digits to which the last iteration's x3-value approximates the true solution of the equation.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
Problem 21EQ
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