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2. Follow the instructions for Exercise 1(a) but use x₁ = 1 as the starting approximation for finding the solution r.

2. Follow the instructions for Exercise 1(a) but use x₁ = 1 as the starting approximation for finding the solution r.

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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1. The figure shows the graph of a function f. Suppose that Newton's method is used to approximate the solutions of the equation f (x) = 0 with initial approximation x₁ = 6. a. Draw the tangent lines that are used to find x2 and x3, and estimate the numerical values of x2 and Answer + Yes x3. Answer 2≈ 7.3, 3≈ 6.8 b. Would x₁ = 8 be a better first approximation? Explain. 34 0 r X 2. Follow the instructions for Exercise 1(a) but use x₁ = 1 as the starting approximation for finding the solution r.
Transcribed Image Text:1. The figure shows the graph of a function f. Suppose that Newton's method is used to approximate the solutions of the equation f (x) = 0 with initial approximation x₁ = 6. a. Draw the tangent lines that are used to find x2 and x3, and estimate the numerical values of x2 and Answer + Yes x3. Answer 2≈ 7.3, 3≈ 6.8 b. Would x₁ = 8 be a better first approximation? Explain. 34 0 r X 2. Follow the instructions for Exercise 1(a) but use x₁ = 1 as the starting approximation for finding the solution r.
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