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AP Calculus BC

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

11–12% of exam score

Derivatives and arc length of parametric curves, vector-valued motion, and area in polar coordinates.

A=12∫αβr(θ)2 dθA = \frac{1}{2} \int_{\alpha}^{\beta} r(\theta)^2 \, d\theta

What this unit covers

  • Parametric derivatives and arc length

  • Vector-valued position, velocity and speed

  • Polar derivatives

  • Area bounded by polar curves

Other units in AP Calculus BC