The equation f (x) = x ^ 3 + 4x ^ 2-10 = 0 has a single root in the range [1,2]. Find the fixed point iteration to this root. where is come from g1,g2,g3,g4,g5

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The equation f (x) = x ^ 3 + 4x ^ 2-10 = 0 has a single root in the range [1,2]. Find the fixed point iteration to this root. where is come from g1,g2,g3,g4,g5

1/2
x = g1(x) = x – x³ – 4x² + 10
10
x = g2(4) = (- 4x)
(b)
1/2
x = g3(x) = (10 – x*)/2
10
(d) x = g4(x) =
4 +x,
x3 + 4x? – 10
x = g5 (x) = x –
3x2 + 8x
Transcribed Image Text:1/2 x = g1(x) = x – x³ – 4x² + 10 10 x = g2(4) = (- 4x) (b) 1/2 x = g3(x) = (10 – x*)/2 10 (d) x = g4(x) = 4 +x, x3 + 4x? – 10 x = g5 (x) = x – 3x2 + 8x
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