Parametric Equations Introduction, Eliminating The Paremeter t, Graphing Plane Curves, Precalculus
This precalculus video provides a basic introduction into parametric equations. It explains the process of eliminating the parameter t to get a rectangular equation of y in terms of an x variable. It also discusses how to graph plane curves which is the same as graphing parametric equations. This video is useful for high school and college students taking precalculus or calculus 2. This video contains plenty of examples and practice problems including parametric equations that contain trigonometry such as sine and cosine functions which leads to the graphs of conic sections such as circles and ellipses.
Parametric Equations - Introduction: https://www.youtube.com/watch?v=97pe-QlSGqA
Derivatives of Parametric Functions:
https://www.youtube.com/watch?v=kf2dZWqLnqE
Tangent Lines of Parametric Curves:
https://www.youtube.com/watch?v=vcZPjuG8GrM
2nd Derivative - Parametric Equations:
https://www.youtube.com/watch?v=93IdxRdd5eg
3rd Derivative of Parametric Curves:
https://www.youtube.com/watch?v=CZKl9C0_gMw
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Horizontal & Vertical Tangent Lines:
https://www.youtube.com/watch?v=jD2RIjbv1Us
Area of Parametric Curves:
https://www.youtube.com/watch?v=riEx7TcLfzk
Arc Length of Parametric Curves:
https://www.youtube.com/watch?v=X8N21DrWmjU
Surface Area of Parametric Curves:
https://www.youtube.com/watch?v=USiKDtILhmc
Polar Coordinates - Introduction:
https://www.youtube.com/watch?v=aSdaT62ndYE
Tangent Line Equations - Polar Form:
https://www.youtube.com/watch?v=ImtzLh8KhIE
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Horizontal & Vertical Tangents - Polar:
https://www.youtube.com/watch?v=EVemXHWbqWI
Area of Polar Curves:
https://www.youtube.com/watch?v=GQ6cDvY8K9g
Area Between Polar Curves:
https://www.youtube.com/watch?v=TwKxDApaxVo
Arc Length of Polar Curves:
https://www.youtube.com/watch?v=bxswSV1utxg
Surface Area of Polar Curves:
https://www.youtube.com/watch?v=n-Zg7WgRzjA
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