1. State the equation you are trying to find a root of, which is f(x) = 0, where you define what your f(x) is. (There should be a different f(x) used for each method.) 2. Show the graph of y = f(x), indicating the root you are trying to find. 3. Describe how the method works, referring to your calculations and your zoomed-in graph illustrations. i. Do this for the first row of calculations (with x values to 1 d.p.) with its corresponding zoomed-in image, ii. Then for the second row and the second zoom. You then paste in the final three rows (up to x values with 5 d.p.).
1. State the equation you are trying to find a root of, which is f(x) = 0, where you define what your f(x) is. (There should be a different f(x) used for each method.) 2. Show the graph of y = f(x), indicating the root you are trying to find. 3. Describe how the method works, referring to your calculations and your zoomed-in graph illustrations. i. Do this for the first row of calculations (with x values to 1 d.p.) with its corresponding zoomed-in image, ii. Then for the second row and the second zoom. You then paste in the final three rows (up to x values with 5 d.p.).
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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Question
Can it be typed and graphed by computer please
Transcribed Image Text:−0.67665×10-x* _0.26689×10−x3 +0.12748×10x −0.018507 = 0
Transcribed Image Text:Description of task.
1.
State the equation you are trying to find a root of, which is f(x) = 0, where you
define what your f(x) is. (There should be a different f(x) used for each method.)
Show the graph of y = f(x), indicating the root you are trying to find.
2.
3.
Describe how the method works, referring to your calculations and your
zoomed-in graph illustrations.
i.
Do this for the first row of calculations (with x values to 1 d.p.) with its
corresponding zoomed-in image,
ii.
Then for the second row and the second zoom.
iii.
You then paste in the final three rows (up to x values with 5 d.p.).
4. Take the midpoint of the final interval. State the value of the root you have
found: x = ...... with a maximum error of ±0.000005.
5. You must use the error bounds.
6. This method will sometimes fail to find a root of an equation. An example of
how this might happen must be included in your project report.
i.
Repeat the steps 1. and 2. from above, but this time for an equation
where the method fails to find the root.
ii.
Describe why the method fails to work, referring to your calculations
and your zoomed-in graph illustration.
iii.
Do this for the first row of calculations (with x values to 1 d.p.) with its
corresponding zoomed-in image.
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