7 The curve \(C\) has polar equation \(r ^ { 2 } = \sin 2 \theta \cos \theta\), for \(0 \leqslant \theta \leqslant \pi\).
- Sketch \(C\) and state the equation of the line of symmetry.
- Find a Cartesian equation for \(C\).
- Find the total area enclosed by \(C\).
- Find the greatest distance of a point on \(C\) from the pole.
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