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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Consider the roots (zeros) of f(x) =a³ – 4x + 1.
7+
6-
5-
4-
-4
-3
-2
3
-1-
-2-
-3
-4
-5+
We will see that small changes in the choice of x, produce different roots, or none at all.
For each x, given, state the root (zero) of f(x) to which the algorithm converges, or write
DNE if it does not converge.
round to 3 decimal places
If x, = 1.85, then Newton's Method converges to: x =
If r.
1.7, then Newton's Method converges to: * =
If To
1.55, then Newton's Method converges to: 2 =
3.](https://content.bartleby.com/qna-images/question/2eddcd7e-11e4-4446-bac9-23301b2ccefe/ca569a46-4ccc-4985-99e1-1d3a8eef5c74/l9lowg_thumbnail.png)
Transcribed Image Text:1
Consider the roots (zeros) of f(x) =a³ – 4x + 1.
7+
6-
5-
4-
-4
-3
-2
3
-1-
-2-
-3
-4
-5+
We will see that small changes in the choice of x, produce different roots, or none at all.
For each x, given, state the root (zero) of f(x) to which the algorithm converges, or write
DNE if it does not converge.
round to 3 decimal places
If x, = 1.85, then Newton's Method converges to: x =
If r.
1.7, then Newton's Method converges to: * =
If To
1.55, then Newton's Method converges to: 2 =
3.
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