EXERCISES 3.1.2 Use the Newton-Raphson method to estimate the root of f(x)=x²-2x²-5 accurate to E <0.0001 and given an initial point is x₁ = 2.
EXERCISES 3.1.2 Use the Newton-Raphson method to estimate the root of f(x)=x²-2x²-5 accurate to E <0.0001 and given an initial point is x₁ = 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![EXERCISES 3.1.2
1. Use the Newton-Raphson method to estimate the root of f(x)=x²-2x² -5 accurate to
€ <0.0001 and given an initial point is x = 2.
2. Use the Newton-Raphson method to find all numerical solutions of f(x)=x² + 3x² -1
accurate to & <0.0001 in the interval [-3, 1].
Answer
1. x6 = 2.6906
2. x₁ = -2.8794, x4 = -0.6527, x5 = 0.5321](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7150f193-45fe-4e6e-a03c-3dc6aa6b30c5%2Ff3af57ba-c025-4803-8c33-3452aa558c2b%2F7nyw78h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:EXERCISES 3.1.2
1. Use the Newton-Raphson method to estimate the root of f(x)=x²-2x² -5 accurate to
€ <0.0001 and given an initial point is x = 2.
2. Use the Newton-Raphson method to find all numerical solutions of f(x)=x² + 3x² -1
accurate to & <0.0001 in the interval [-3, 1].
Answer
1. x6 = 2.6906
2. x₁ = -2.8794, x4 = -0.6527, x5 = 0.5321
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