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Section 3.2 – Polar Equations Section 3.3 – Polar Graphs. 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.
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Section 3.2 – Polar Equations Section 3.3 – Polar Graphs
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 – Cardioids (Hearts) Note: Extra loop Only if b > a
The Shapes – Lemniscates (Propellers) 13
The Shapes – Rose Curves n even – 2n pedals n odd – n pedals
3. Enter the equation Graphing Polar Curves on Calculator 1. Change mode to Polar 2. Hit y = (you’ll see r = indicating polar mode) • Graphing once should give you a sense of how • to change the x, y and theta constraints.
Finding Points of Intersection (Boundaries of Integration)