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Polar Coordinates: Example 12: Limaçons Analytical Proof: Part 2: Question B

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First published at 22:15 UTC on December 28th, 2017.

Math Easy Solutions

MES

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In this video I go over Part 2 of Example 12 on Polar Coordinates which involves providing an analytical approach to the Limaçon curves of Example 11. In Part 2 I look at Question B which asks to prove that the Limaçon loses it’s “dimple” at c = ½. I prove this by using the Second Derivative Test to show that the dimple is simple a local maximum. Similarly I do the same for c = -1/2 and show that instead the dimple can be viewed as the local minimum. This is another very detailed proof video but once again provides an in-depth approach in breaking down polar curves, so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhvR7apHTQzi_4VTEsA

View video notes on the Hive blockchain: https://peakd.com/mathematics/@mes/video-notes-polar-coordinates-example-12-limacons-analytical-proof-part-1-question-a

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Polar Coordinates: Example 12: Limaçons Analytical Proof: Part 1: Question A: https://youtu.be/90XjQVkLBVY
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