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Section 3.2 – Polar Equations Section 3.3 – Polar Graphs

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

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  1. Section 3.2 – Polar Equations Section 3.3 – Polar Graphs

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

  3. The Shapes Lines Circles Cardioid Lemniscate Sprial Rose Curves

  4. The Shapes - Lines Vertical Line Horizontal Line General Line

  5. The Shapes - Circles

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

  7. The Shapes – Lemniscates (Propellers) 13

  8. The Shapes - Spirals

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

  10. 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.

  11. 5. Now change the constraints in WINDOW

  12. Finding Points of Intersection (Boundaries of Integration)

  13. WRONG ANSWER

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