Consider the function f(x)%3D4X-1-sin(x) on the interval Osxs2. a) Perform 4 iterations of the Bisection Method on f(x) using the end points of the interval as initial data. Show the new estimate xn and f(xn) at each step. b) Perform 4 iterations of Newton's Method on f(x) with the initial guess x0-1. Show xn and f(xn) at each step. c) Perform 4 iterations of Secant Method on f(x) using the end points of the interval as initial data. Show the new estimate xn and f(xn) at each step.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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) Consider the function f(x)=4x-1-sin(x) on the interval Osxs2.
a) Perform 4 iterations of the Bisection Method on f(x) using the end points of the
interval as initial data. Show the new estimate xn and f(xn) at each step.
b) Perform 4 iterations of Newton's Method on f(x) with the initial guess x0=1. Show xn
and f(xn) at each step.
c) Perform 4 iterations of Secant Method on f(x) using the end points of the interval as
initial data. Show the new estimate xn and f(xn) at each step.
Transcribed Image Text:) Consider the function f(x)=4x-1-sin(x) on the interval Osxs2. a) Perform 4 iterations of the Bisection Method on f(x) using the end points of the interval as initial data. Show the new estimate xn and f(xn) at each step. b) Perform 4 iterations of Newton's Method on f(x) with the initial guess x0=1. Show xn and f(xn) at each step. c) Perform 4 iterations of Secant Method on f(x) using the end points of the interval as initial data. Show the new estimate xn and f(xn) at each step.
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