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Find an Interval For θ\theta For Which the Graph Is Traced Only Once

Question 66

Multiple Choice

Find an interval for θ\theta for which the graph is traced only once.
r=2sin(3θ2) r = 2 \sin \left( \frac { 3 \theta } { 2 } \right)


A) 0θ<π30 \leq \theta < \frac { \pi } { 3 }
B) 0θ<π0 \leq \theta < \pi
C) 0θ<4π0 \leq \theta < 4 \pi
D) 0θ<4π30 \leq \theta < \frac { 4 \pi } { 3 }
E) 2πθ<2π- 2 \pi \leq \theta < 2 \pi

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