Task 8 For the following function: f(x) = x³ – 7x² + 8x – 3 A. Using Newton-Raphson Method, find an approximate root of ƒ(x). Take the starting value xo = 5. Perform 5 iterations (keep 4 digits after the decimal point). What is your conclusion? B. Using Bisection Method find an approximate root of f(x) in the interval [4, 6]. Perform 5 iterations (keep 4 digits after the decimal point). Calculate the absolute relative approximate error after every iteration starting with the 2nd iteration.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Task 8

Task 8
For the following function:
f (x) = x3 – 7x² + 8x – 3
A. Using Newton-Raphson Method, find an approximate root of f (x).
Take the starting value xo = 5. Perform 5 iterations (keep 4 digits
after the decimal point). What is your conclusion?
B. Using Bisection Method find an approximate root of f (x) in the
interval [4, 6]. Perform 5 iterations (keep 4 digits after the decimal
point). Calculate the absolute relative approximate error after every
iteration starting with the 2nd iteration.
Transcribed Image Text:Task 8 For the following function: f (x) = x3 – 7x² + 8x – 3 A. Using Newton-Raphson Method, find an approximate root of f (x). Take the starting value xo = 5. Perform 5 iterations (keep 4 digits after the decimal point). What is your conclusion? B. Using Bisection Method find an approximate root of f (x) in the interval [4, 6]. Perform 5 iterations (keep 4 digits after the decimal point). Calculate the absolute relative approximate error after every iteration starting with the 2nd iteration.
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