For the curve given by on

MATHEMATICS · Subjective · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

For the curve given by

r=3+2\cos\theta

0\le \theta\le 2\pi

, determine (a) the maximum value of

r

, and (b) all angle(s)

\theta

(in radians) at which this maximum occurs.