Consider the graph of f(x) = x – tan(x) Suppose we want to find the zero of ƒ between a = 4 and r = 5. See what happens if you use Newton's Method with r, = 4. Try explaining why this happen by looking at the graph of f(x). Use a better first guess for r, to solve x - tan(x) = 0 on the interval [4, 5] |(round to 4 decimals)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the graph of f(x) = x – tan(x)
8
7
4
2
-1
4
-2
-3
4
-5
-6
-7
-8
-9
-10
Suppose we want to find the zero of f between æ = 4 and æ =
See what happens if you use Newton's Method with r, = 4. Try explaining why this happens
by looking at the graph of f(x).
Use a better first guess for x, to solve
x – tan(x) = 0
on the interval [4, 5]
(round to 4 decimals)
Transcribed Image Text:Consider the graph of f(x) = x – tan(x) 8 7 4 2 -1 4 -2 -3 4 -5 -6 -7 -8 -9 -10 Suppose we want to find the zero of f between æ = 4 and æ = See what happens if you use Newton's Method with r, = 4. Try explaining why this happens by looking at the graph of f(x). Use a better first guess for x, to solve x – tan(x) = 0 on the interval [4, 5] (round to 4 decimals)
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