
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]


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Given that the polar coordinate equation of curve C is $ρ=2$, and a rectangular coordinate system is established with the pole as the origin and the positive semi-axis of the polar axis as the x-axis. The parameter equation of line l is $ \begin{cases} x= \sqrt {3}- \frac {1}{2}t \\ y=1+ \frac { \sqrt {3}}{2}t \end{cases}(t$ is the parameter).
(1) Write the rectangular coordinate equation of line l and the general equation of curve C.
(2) Suppose curve C undergoes an expansion transformation $ \begin{cases} x'=x \\ y'=2y \end{cases}$, resulting in curve C'. For any point M($x_0,y_0$) on curve C', find the maximum distance from M to line l.

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