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/@mes/video-notes-polar-coordinates-example-12-limacons-analytical-proof-part-2-question-b
Polar Coordinates: Example 12: Limaçons Analytical Proof: Part 1: Question A: https://youtu.be/90XjQVkLBVY
Polar Coordinates: https://youtu.be/-KAdZL-N4ok
Parametric Equations and Polar Coordinates: https://youtu.be/usSors49Gdw
Second Derivative Test - A brief Introduction: http://youtu.be/lOwK5rQh0Kk .
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