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Polar Equations and Calculus

blackpenredpen via YouTube

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This course examines polar equations in a Calculus 2 context, covering coordinate conversion, tangent slopes, areas enclosed by polar curves, and the derivation of polar arc length.

Syllabus

Q1.
Q2, Cartesian to Polar.
Q3ab.
Slope of the tangent line to the polar curve r = tan(theta) at pi/3.
dy/dx for r = 1/theta at pi.
4a.
4b.
Area Enclosed by a Polar Curve, Calculus 2.
4d.
area of polar curves, calculus 2.
Q5, area of a polar region.
Arc Length of A Polar Curve (proof).
Q7.

Taught by

blackpenredpen

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