Identify whether the given equation is that of a cardioid, limaçon, rose, or lemniscate.
$r^2=-25\(\cos\)2\(\theta\)$

In Exercises 35–44, test for symmetry and then graph each polar equation. r = 2 + 3 sin 2θ

In Exercises 64–70, graph each polar equation. Be sure to test for symmetry. r = 2 + 2 sin θ

Identify whether the given equation is that of a cardioid, limaçon, rose, or lemniscate.

$r=4\(\sin\)2\(\theta\)$

Identify whether the given equation is that of a cardioid, limaçon, rose, or lemniscate.

$r=3+2\(\cos\]\theta\)$

Identify whether the given equation is that of a cardioid, limaçon, rose, or lemniscate.

$r=1-\(\sin\]\theta\)$

Graph $r=2-2\(\cos\]\theta\)$

Graph $r=1+2\(\sin\]\theta\)$

Graph $r=3\(\cos\)4\(\theta\)$