Unit 10 Honors / Extended Practice

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Honors / Extended pathway

Polar Coordinates & Polar Calculus

Deeper proof, synthesis, parameter analysis, and unfamiliar applications.

1. Convert (r,θ)=(2,π/3) to Cartesian.

2. Which statement best describes the central reasoning in Polar Coordinates, Equivalence & Conversion?

3. Identify r=2cosθ.

4. Which statement best describes the central reasoning in Graphing Polar Curves & Symmetry Tests?

5. For r=2θ, find r′.

6. Which statement best describes the central reasoning in Polar Derivatives & Tangent Slopes?

7. Find area inside r=2, 0≤θ≤π.

8. Which statement best describes the central reasoning in Area in Polar Coordinates?

9. Find non-pole intersections of r=2cosθ and r=1.

10. Which statement best describes the central reasoning in Intersections, Loops & Overlap?

11. Find length of r=2 on 0≤θ≤π.

12. Which statement best describes the central reasoning in Polar Arc Length?

13. Classify a conic with eccentricity e=1/2.

14. Which statement best describes the central reasoning in Polar Conics, Spirals & Applied Modelling?

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