
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
In the rectangular coordinate system $(xOy)$, the equation of curve $C\_1$ is $\frac{x^{2}}{9}+y^{2}=1$. Establish a polar coordinate system with the coordinate origin as the pole and the positive semi-axis of $x$ as the polar axis. The polar coordinate equation of curve $C\_2$ is $ρ^{2}-8ρ\sin θ+15=0$.
(I) Write the parametric equation of $C\_1$ and the rectangular coordinate equation of $C\_2$;
(II) Suppose point $P$ is on $C\_1$ and point $Q$ is on $C\_2$, find the maximum value of $|PQ|$.

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