(1.2) Apply the bisection method (two iteration steps) to determine approximations pi and po for the solution for f(x) - 0 on the interval (0;1]. Compleate the table below. Table 1. Bisection method (a,) fip.) P. 1 2 Given: a" +a - 4 = 0; r F [1;4) (13) Find the minimum number of hisaction rethod iteration needed to achieve an appozimation with accuracy of 10-. (1.4) List two methods that will always convergo to the root of a funetion if the procodure is appled correctly.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
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(1.2) Apply the bisection method (two iteration steps) to determine approximations pi and p2 for the
solution for f(2) = 0 on the interval (0;1]. Compleate the table below.
Table 1. Bisection method
i(a,)
Pa
fip.)
1.
2
Given: r* +1 - 4 = 0; r E [1;4)
(1.3) Find the minimum number of hisection method iteration needed to achieve an approzimation with
accuracy of 10-3.
(1.4) List two methods that will always converge to the root of a function if the procedure is
appled correctly.
Transcribed Image Text:(1.2) Apply the bisection method (two iteration steps) to determine approximations pi and p2 for the solution for f(2) = 0 on the interval (0;1]. Compleate the table below. Table 1. Bisection method i(a,) Pa fip.) 1. 2 Given: r* +1 - 4 = 0; r E [1;4) (1.3) Find the minimum number of hisection method iteration needed to achieve an approzimation with accuracy of 10-3. (1.4) List two methods that will always converge to the root of a function if the procedure is appled correctly.
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