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:

Lump-sum Amount

A fixed total amount that does not change with the level of output, activity, or number of beneficiaries.

Tax System

A framework of policies governing how taxes are collected from individuals and businesses by a governing authority.

Disproportionate

Significantly uneven or out of balance in comparison to something else.

Excise Tax

A tax imposed on specific goods, services, or transactions, often aimed at reducing their consumption or generating revenue.