The equation f(x)=x^2-10=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. b) Determine the number of significant digits to which the last iteration’s -value approximates the true solution of the equation.
The equation f(x)=x^2-10=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. 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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The equation f(x)=x^2-10=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.
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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