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Keith's copy of Maria's copy of Mario's copy of Interactive Newton-Raphson method
Write down the Newton-Raphson formula for finding a numerical solution to the equation emx+bx−a=0. If x0=1 find x1.
Included in the Advice of this question are:
6 iterations of the method.
Graph of the NR process using jsxgraph. Also user interaction allowing change of starting value and its effect on the process.
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
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History
Keith Tarnowski 5 years, 9 months ago
Created this as a copy of Maria's copy of Mario's copy of Interactive Newton-Raphson method.Name | Status | Author | Last Modified | |
---|---|---|---|---|
Interactive Newton-Raphson method | Ready to use | Bill Foster | 19/04/2017 11:03 | |
Interactive Newton-Raphson method | Should not be used | Christian Lawson-Perfect | 14/02/2020 12:57 | |
Senida's copy of Interactive Newton-Raphson method | draft | Senida Krcic | 15/11/2018 03:27 | |
Mario's copy of Interactive Newton-Raphson method | draft | Mario Stevanovski | 15/11/2018 03:44 | |
Maria's copy of Mario's copy of Interactive Newton-Raphson method | draft | Maria Aneiros | 27/05/2019 05:57 | |
Keith's copy of Maria's copy of Mario's copy of Interactive Newton-Raphson method | draft | Keith Tarnowski | 03/06/2019 14:24 | |
Anna's copy of Maria's copy of Mario's copy of Interactive Newton-Raphson method | Doesn't work | Anna Strzelecka | 16/08/2019 15:12 | |
Min_max_v1 | draft | Anna Strzelecka | 10/01/2020 14:29 | |
Min_max_v2 | draft | Anna Strzelecka | 16/08/2019 14:51 | |
Maths_and_Stats's copy of Interactive Newton-Raphson method | draft | Maths_and_Stats Advice | 19/09/2019 13:49 |
There are 8 other versions that do you not have access to.
Name | Type | Generated Value |
---|
a | integer |
9
|
||||
maxy | integer |
71
|
||||
ans1 | number |
0.5806
|
||||
m | number |
2
|
||||
results | list |
List of 7 items
|
||||
b | integer |
10
|
||||
tol | integer |
0
|
||||
ans | number |
1.4497
|
||||
tans | number |
1.4496628671
|
Generated value: integer
- b
- maxy
- results
- tans
This variable doesn't seem to be used anywhere.
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
This equation has a root in the range $0 \lt x \lt 1$.
Using the Newton-Raphson formula, if $x_n$ is the $n$th estimate for this root, show that the next estimate can be written in the form \[x_{n+1}= \frac{p(x_n)}{g'(x_n)}\]
Enter $p(x_n)$ and $g'(x_n)$ in the boxes below.
Please note that if you enter a function of the form $xe^{ax}$, then you must input it as $x*e^{ax}$.
$p(x_n)=\;\;$
$g'(x_n)=\;\;$
If you have forgotten the Newton-Raphson formula you can click on Steps to see it. You will not lose any marks in doing so.
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