
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, circle C₁: x²+y²=1 undergoes a scaling transformation $$\begin{cases} x′=2x \\ y′= \sqrt {3}y\end{cases}$$ to obtain curve C₂. Establish a polar coordinate system with the coordinate origin as the pole, the positive semi-axis of the x-axis as the polar axis, and the same unit length in both coordinate systems. The polar coordinate equation of line l is ρ(2cosθ+ $\sqrt {3}$sinθ)=9.

1. Find the rectangular coordinate equation of curve C₂ and line l.
2. Let point M be a moving point on curve C₂. Find the maximum value of the distance from point M to line l.

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