
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 in the polar coordinate system, the polar equation of curve \\(C_{1}\\) is: \\(\rho=4\cos \theta\\), with the pole as the origin of the coordinate system and the polar axis as the positive half-axis of the \\(x\\)-axis, the parametric equation of curve \\(C_{2}\\) is: 
\[
\begin{cases} 
x=3- \frac {1}{2}t \\
y= \frac { \sqrt {3}}{2}t
\end{cases}
\]
(where \\(t\\) is the parameter), and point \\(A(3,0)\\).
\\((1)\\) Find the rectangular coordinate equation of curve \\(C_{1}\\) and the general equation of curve \\(C_{2}\\);
\\((2)\\) Suppose curve \\(C_{1}\\) intersects curve \\(C_{2}\\) at points \\(P\\) and \\(Q\\), calculate the value of \\(|AP|\cdot|AQ|\\).

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