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Mistake Master · AP Precalculus · Unit 3 · Step-Through Animation

Away From the Pole, Not Up the Page

You'll learnto separate a polar point's radial motion from its angular motion.

A point on a polar curve does two things at once: the angle carries it counterclockwise, and r decides whether it is drifting toward the pole or away from it. While r is positive, rising r means away — not up, not faster, and nothing about which way the sweep turns. Twelve short steps; press Next for each one.

12 STEPS · 6 QUICK CHECKS · TOWARD · AWAY · RATE PER RADIAN · NEGATIVE r · v4

toward or away, never up or down · distance is |r|
Before you start
What you're looking at
A point sweeping a polar curve, with a gauge reading its distance from the pole.
The question
Is the point drifting toward the pole or away from it?
Step 1 / 8