
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 parametric equations of curve $C\_1$ are $\begin{cases} x=2\cos θ \
y=\sin θ\end{cases}$ ($θ$ is the parameter), and the parametric equations of curve $C\_2$ are $\begin{cases} x=-3+t \
y= \frac {3+3t}{4}\end{cases}$ ($t$ is the parameter).

1. Convert the parametric equations of curves $C\_1$ and $C\_2$ into standard form equations.
2. Find the maximum and minimum distances from a point on curve $C\_1$ to curve $C\_2$.

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