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Use the Newton's method with initial approximation x₁ = -1 to find x2, the second approximation to the root of the equation 1 x³ + x + 3 = 0. b) Use the Newton's method with initial approximation x₁ = 1 to find 2, the second approximation to the root of the equation x-x-1=0.

Use the Newton's method with initial approximation x₁ = -1 to find x2, the second approximation to the root of the equation 1 x³ + x + 3 = 0. b) Use the Newton's method with initial approximation x₁ = 1 to find 2, the second approximation to the root of the equation x-x-1=0.

Advanced Engineering Mathematics
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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5. a) Use the Newton's method with initial approximation x₁ = -1 to find x2, the second approximation to the root of the equation 1 x³ + x + 3 = 0. b) = = 1 to find x2, the second Use the Newton's method with initial approximation ₁ approximation to the root of the equation x¹ - x-1=0.
Transcribed Image Text:5. a) Use the Newton's method with initial approximation x₁ = -1 to find x2, the second approximation to the root of the equation 1 x³ + x + 3 = 0. b) = = 1 to find x2, the second Use the Newton's method with initial approximation ₁ approximation to the root of the equation x¹ - x-1=0.
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