Analytic geometry

OpenStax

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Introduction to analytic geometry

1 Writing equations of ellipses in standard form

2 Deriving the equation of an ellipse centered at the origin

3 Writing equations of ellipses centered at the origin in standard form

4 Writing equations of ellipses not centered at the origin

5 Graphing ellipses centered at the origin

6 Graphing ellipses not centered at the origin

7 Solving applied problems involving ellipses

8 Key equations

10 Section exercises

15 Real-world applications

Rotation of axes

Conic sections in polar coordinates

1 Identifying a conic in polar form

2 Graphing the polar equations of conics

3 Deﬁning conics in terms of a focus and a directrix

5 Section exercises

9 Chapter review exercises

11 The Hyperbola

12 The Parabola

13 Rotation of Axes

14 Conic Sections in Polar Coordinates

15 Practice test

Source: OpenStax, Algebra and trigonometry. OpenStax CNX. Nov 14, 2016 Download for free at https://legacy.cnx.org/content/col11758/1.6

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