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AP Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions

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This earlier reading list remains available with its complete tasks. The current book places these resources in the following topic chapters:

Track a moving point, connect its coordinates to tangent and concavity, and accumulate length and polar area.

Follow the topics below, then try the 30 unit problems before opening the separate step-by-step solutions.

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  1. 9.1 Defining and Differentiating Parametric Equations ↗
  2. 9.2 Second Derivatives of Parametric Equations ↗
  3. 9.3 Finding Arc Lengths of Curves Given by Parametric Equations ↗
  4. 9.4 Defining and Differentiating Vector-Valued Functions ↗
  5. 9.5 Integrating Vector-Valued Functions ↗
  6. 9.6 Solving Motion Problems Using Parametric and Vector-Valued Functions ↗
  7. 9.7 Defining Polar Coordinates and Differentiating in Polar Form ↗
  8. 9.8 Find the Area of a Polar Region or the Area Bounded by a Single Polar Curve ↗
  9. 9.9 Finding the Area of the Region Bounded by Two Polar Curves ↗
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