Use Newton Raphson Example 1. f(x)= x³ - 20 f'(x) = 3x² i 0 1 2 3 4 5 6 X 3 f(x) 33-20 x³-200 start with initial guess = 3 f'(x) 3* (3²) Xi+1 = Xi - x₁ = 3- f(xi) f'(xi) 33 - 20 3* (3²) = 2.741 12.741-31 2.741 error *100 = 9.45%
Use Newton Raphson Example 1. f(x)= x³ - 20 f'(x) = 3x² i 0 1 2 3 4 5 6 X 3 f(x) 33-20 x³-200 start with initial guess = 3 f'(x) 3* (3²) Xi+1 = Xi - x₁ = 3- f(xi) f'(xi) 33 - 20 3* (3²) = 2.741 12.741-31 2.741 error *100 = 9.45%
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.CT: Chapter Test
Problem 5CT: Solve for x: z=x.
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Transcribed Image Text:Use Newton Raphson Example 1.
f(x)= x³ - 20
f'(x) = 3x²
i
0
1
2
3
4
5
6
X
3
f(x)
33-20
x³-200 start with initial guess = 3
f'(x)
3* (3²)
Xi+1 = Xi -
x₁ = 3-
f (xi)
f'(xi)
33 20
3* (3²)
= 2.741
12.741-31
2.741
error
* 100 = 9.45%
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