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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.

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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Apply six decimal place rounding where applicable. घ The equation f(x) = x² - 18 = 0 has a root near x = 4. a) Apply four iterations of the Secant Method, taking the initial approximations x₁ = 2.5 and to approximate the value of this root. Tabulate your iterations x2 = 3.5, 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.
Transcribed Image Text:Apply six decimal place rounding where applicable. घ The equation f(x) = x² - 18 = 0 has a root near x = 4. a) Apply four iterations of the Secant Method, taking the initial approximations x₁ = 2.5 and to approximate the value of this root. Tabulate your iterations x2 = 3.5, 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.
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