For the rose curve

MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

For the rose curve

r=2\sin 2\theta

, how many points of inflection occur in the interval

0<\theta<\dfrac{\pi}{2}

? (a) Exactly one (b) Exactly two (c) None (d) Exactly four