Apply six decimal place rounding where applicable.   The equation  f(x) = x^2 - 8 = 0 has a root near x = 3   a) Apply four iterations of the Secant Method, taking the initial approximations  and , 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 -value approximates the true solution of the equation.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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Apply six decimal place rounding where applicable.

 


The equation  f(x) = x^2 - 8 = 0 has a root near x = 3

 

a) Apply four iterations of the Secant Method, taking the initial approximations  and , 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 -value approximates the true solution of the equation.    
 

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