AP Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions
Find these readings by topic
This earlier reading list remains available with its complete tasks. The current book places these resources in the following topic chapters:
- Parametric curves and vector motion →
Use coordinate rates and vector accumulation to describe planar motion, tangents, concavity, and distance along a specified trace.
- Polar coordinates and regions →
Interpret directed polar coordinates, calculate tangent rates, and choose bounds and boundaries for a once-swept region.
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.
- 9.1 Defining and Differentiating Parametric Equations ↗
- 9.2 Second Derivatives of Parametric Equations ↗
- 9.3 Finding Arc Lengths of Curves Given by Parametric Equations ↗
- 9.4 Defining and Differentiating Vector-Valued Functions ↗
- 9.5 Integrating Vector-Valued Functions ↗
- 9.6 Solving Motion Problems Using Parametric and Vector-Valued Functions ↗
- 9.7 Defining Polar Coordinates and Differentiating in Polar Form ↗
- 9.8 Find the Area of a Polar Region or the Area Bounded by a Single Polar Curve ↗
- 9.9 Finding the Area of the Region Bounded by Two Polar Curves ↗