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State the Smallest θ-interval (0θk)\theta \text {-interval }(0 \leq \theta \leq k)

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State the smallest θ-interval (0θk)\theta \text {-interval }(0 \leq \theta \leq k)
that gives a complete graph of the polar equation r=3sin2θr=3 \sin 2 \theta \text {. } Sketch the graph and label the graph to show which petals are generated by positive values of r and which by negative values of r.
 State the smallest  \theta \text {-interval }(0 \leq \theta \leq k)  that gives a complete graph of the polar equation  r=3 \sin 2 \theta \text {. }  Sketch the graph and label the graph to show which petals are generated by positive values of  r  and which by negative values of  r.

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