1. Use Newton's method in order to find the root(s) of the function: f(x) = 8x³8x²-x + 1 = 0 startin with initial point (a) xo = -0.2. and at what iteration does it give the final answer? Use tolerance of tol = 0.1. (b) xo = 0.3. Specify: 1. (a) root x = (b) f(x) = flad iteration no. = iteration

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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SHOW YOUR COMPLETE SOLUTION. ANSWERS MUST BE IN 4 DECIMAL PLACES.

1. Use Newton's method in order to find the root(s) of the function: f(x) = 8x³ − 8x² − x + 1 = 0 starting
with initial point (a) x₁ = -0.2. and at what iteration does it give the final answer? Use tolerance of
tol = 0.1. (b) xo = 0.3.
Specify:
1. (a) root x =
(b) root x =
f(x) =
f(x):
=
iteration no. =
iteration no. =
Transcribed Image Text:1. Use Newton's method in order to find the root(s) of the function: f(x) = 8x³ − 8x² − x + 1 = 0 starting with initial point (a) x₁ = -0.2. and at what iteration does it give the final answer? Use tolerance of tol = 0.1. (b) xo = 0.3. Specify: 1. (a) root x = (b) root x = f(x) = f(x): = iteration no. = iteration no. =
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