
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the polar coordinate system with the origin O as the pole and the Ox-axis as the polar axis, and using the same length unit, the polar equation for a curve is $\rho \sin^{2}\theta = 6 \cos\theta$.
(1) Convert the polar equation of curve C, $\rho \sin^{2}\theta = 6 \cos\theta$, to a rectangular coordinate equation, and identify the type of curve.
(2) If the parametric equation of line l is $\begin{cases} x= \frac {3}{2} + \frac {1}{2}t \\ y= \frac { \sqrt {3}}{2}t \end{cases}$ (where t is the parameter), and line l intersects curve C at points A and B, find the length of segment AB.

Present the answer in LaTex format: \boxed{Your answer}
user