Parametric equations and polar coordinates

OpenStax

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Parametric equations

1 Parametric equations and their graphs

2 Eliminating the parameter

3 Cycloids and other parametric curves

Calculus of parametric curves

1 Derivatives of parametric equations

3 Second-order derivatives

4 Integrals involving parametric equations

5 Arc length of a parametric curve

6 Surface area generated by a parametric curve

8 Key equations

Polar coordinates

1 Defining polar coordinates

3 Symmetry in polar coordinates

Area and arc length in polar coordinates

1 Areas of regions bounded by polar curves

2 Arc length in polar curves

4 Key equations

4 Eccentricity and directrix

5 Polar equations of conic sections

6 General equations of degree two

8 Chapter review exercises

Source: OpenStax, Calculus volume 2. OpenStax CNX. Feb 05, 2016 Download for free at http://cnx.org/content/col11965/1.2

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