37. Using Fixed-point Iteration solve for the roots of: f(x) = x³ + 4x² − 10, x = 0 and a ≤ 0.001% in 6th iteration f(x) = sin(√x) - x, x₁ = 0.5 and & ≤ 0.001% in 11th iteration
37. Using Fixed-point Iteration solve for the roots of: f(x) = x³ + 4x² − 10, x = 0 and a ≤ 0.001% in 6th iteration f(x) = sin(√x) - x, x₁ = 0.5 and & ≤ 0.001% in 11th iteration
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Question
Using Fixed-point Iteration Method. Complete the iterations based on the number and relative error. In addition, solve or find g(x) for both functions.
![37. Using Fixed-point Iteration solve for the roots of:
f(x) = x³ + 4x² - 10, x = 0 and a ≤ 0.001% in 6th iteration
f(x) = sin(√x) — x, x₁ = 0.5 and & ≤ 0.001% in 11th iteration](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F19588424-afc8-4574-a6e3-d77e248208bc%2F5c152a7f-05b2-4b2e-8364-ae96e75f4e69%2F8y2gso7_processed.png&w=3840&q=75)
Transcribed Image Text:37. Using Fixed-point Iteration solve for the roots of:
f(x) = x³ + 4x² - 10, x = 0 and a ≤ 0.001% in 6th iteration
f(x) = sin(√x) — x, x₁ = 0.5 and & ≤ 0.001% in 11th iteration
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