Section 3.2 – Polar Equations

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Presentation transcript:

Section 3.2 – Polar Equations Section 3.3 – Polar Graphs

Graphing Polar Curves on Calculator Shapes of Polar Curves Graphing Polar Curves on Calculator Finding Points of Intersection (Boundaries of Integration)

The Shapes Lines Circles Cardioid Lemniscate Sprial Rose Curves

The Shapes - Lines Vertical Line Horizontal Line General Line

The Shapes - Circles

The Shapes – Cardioids (Hearts) Note: Extra loop Only if b > a

The Shapes – Lemniscates (Propellers) 13

The Shapes - Spirals

The Shapes – Rose Curves n even – 2n pedals n odd – n pedals

Graphing Polar Curves on Calculator 1. Change mode to Polar 2. Hit y = (you’ll see r = indicating polar mode) 3. Enter the equation Graphing once should give you a sense of how to change the x, y and theta constraints.

5. Now change the constraints in WINDOW

Finding Points of Intersection (Boundaries of Integration)

WRONG ANSWER