MATH102 December 2014
Work in progress: this question page is incomplete, there might be mistakes in the material you are seeing here.
• QA 1 • QA 2 • QA 3 • QA 4 • QA 5 • QA 6 • QA 7 • QA 8 • QB 1 • QB 2 • QB 3 • QB 4 • QB 5 • QB 6 • QB 7 • QC 1 • QC 2(a) • QC 2(b) • QC 2(c) • QC 2(d) • QC 3 •
Question A 08
In order to calculate using Newton’s method, which of the following would be the appropriate formula?
(E) None of the above.
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you?
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it!
Set and use Newton’s method to find the root.
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Let then the problem becomes finding such that or . According to Newton’s method, to find roots of , the formula is
Here we have , then and the above formula becomes
which is answer (C).
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