Polar Equations of Conic Sections In Polar Coordinates

This calculus 2 video tutorial explains how to graph polar equations of conic sections in polar coordinates. It explains how to identify the conic as an ellipse, parabola or hyperbola and how to determine the eccentricity and the equation of the directrix of the conic section. It also explains how to write the polar equation given the eccentricity, directrix, or vertex of the conic section. This video contains plenty examples and practice problems.
Area of Parametric Curves:
• Area of Parametric Curves
Area of Polar Curves:
• Finding Area In Polar ...
Area Between Polar Curves:
• Finding Area Bounded B...
Arc Length of Polar Curves:
• Arc Length of Polar Cu...
Surface Area of Polar Curves:
• Surface Area of Revolu...
_____________________________
Writing Equations of Ellipses:
• Writing Equations of E...
Eccentricity of an Ellipse:
• Eccentricity of an Ell...
Area of an Ellipse:
• Area of an Ellipse
Circumference of an Ellipse:
• Circumference of an El...
Hyperbolas - Conic Sections:
• Hyperbolas - Conic Sec...
______________________________
Parabolas - Conic Sections:
• Finding The Focus and ...
Polar Equations of Conic Sections:
• Polar Equations of Con...
Calculus 3 - Intro to Vectors:
• Calculus 3 - Intro To ...
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[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for a lengthy video/lecture on Polar Equations of Conic Sections in Polar Coordinates in Calculus Two. This is one of the first time that I can remember seeing in great detail how to graph polar equations of conic sections in polar coordinates by hand only. Pattern recognition really helps with understanding this classic material in Calculus. This is an error free video/lecture on CZcams TV with the Organic Chemistry Tutor.

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[@dktchr3332]

It appears cartesian and radial coordinates are "mixed" on the same diagram. For example, the left vertex is labeled -2 yet it was calculated based on a radial theta of pi.

[@dinaraghnayarafiulhaq2620]

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[@sammao8478]

Great video mate! But c is the distance from the centre of the ellipse (not from vertex) to the focal point if I may.

[@j2stutu519]

No it is not.

[@ephemeronchimera]

Great video! "E-centricity" lol

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[@gigawasian]

how the heck is it legal to use _e_ as a variable name. thats like using π as a variable name.

[@asdfmovies831]

why dont you have to convert the directrix into a polar coordinate when graphing it?? why are you allowed to keep it as x=-6, y=4, etc, when you are on a graph that exists in terms of (r,theta)?

[@joyyang9396]

10:45 can i just use the distance between the verticie and focus to determine c? btw how did u know e=c/a? thx

[@powerblox9677]

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[@harryalvarado9041]

At 9:23 the directrix is x=-d but doesn't an Ellipse have two directrix.

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Who is here for Engineering Mathematics??

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me

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All fun and game untill rotated comic section and polar equation enters the syllabus 💀😭

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[@bardushka]

Cow moo at 39:19?

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.