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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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
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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