Newton's Method on Linear Approximation - Examples Part 1: Where it Converges

in MES Science15 days ago (edited)

In this video I recap on the Newton's Method of Linear Approximation which I showed in my earlier video and go through some very useful examples to illustrate the cases in which this method works and converges fairly quickly. In the examples I utilized Microsoft's powerful spreadsheet capabilities and use Excel tables to automate Newton's Method. I also show some useful tips on how to speed up creating a table in Excel.


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Newton’s Method on Linear Approximations

Examples Part 1: Where Newton’s Method Converges

Newton's Method Examples.jpg

Recap on Newton's Method

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Example 1

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Solution:

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Example 2

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Solution:

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Example 3

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Solution:

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