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5 minute Calculus - FRQ for AP - Parametric sketching, area, length, and slope in 5 minutes

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First published at 10:08 UTC on May 1st, 2021.

#parametric
#calculus

5minutemath

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Free response question:
1) Sketch the curve of the cycloid
2) Where are tangents horizontal? Vertical?
3) What is the area under one arch of the cycloid?
4) What is the length of one arch of the cycloid
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Questions are my own and are based upon the most common questions for that topic in the AP* exam. The questions are NOT official, but they relate to topics in the official test. (*AP is a trademark [registered / owned] by the College Board, which is not affiliated with, and does not endorse, these videos)

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