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AP® Calculus AB-BC

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Meaning of Derivatives in Polar Coordinates w/ Calculator

APCALC-BGGSXG

If the motion of a particle in the $xy$-plane is described by the polar equation $r=4\cos{4\theta}-2\sin{3\theta}$.

Which statement best describes the motion of the particle when $\theta=\cfrac{\pi}{5}$?

A

The particle is moving in the negative $x$-direction.

B

The particle is moving in the positive $x$-direction.

C

The particle is moving in the positive $y$-direction.

D

The particle is stopped.