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

question 24

Essay

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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Definitions:

Lowest Score

The minimum value or achievement recorded in a set of data or test results.

Highest Score

The top or maximum score achieved in a test, competition, or assessment, indicating the best performance among all participants.

Normal Curve

The normal curve, or bell curve, is a graphical representation of a normal distribution, showing how data points are dispersed or spread out across the mean.

Standard Scores

Standard scores are a type of score that have been transformed to fit a normal distribution, with a mean of zero and a standard deviation of one, allowing comparison across different tests or assessments.