
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 as $$\begin{cases} x=2\cos\alpha \\ y=\sin\alpha \end{cases}$$ (where α is the parameter), establish a polar coordinate system with the coordinate origin as the pole and the positive semi-axis of the x-axis as the polar axis. The polar coordinate equation of line l is given as $$\sqrt {2}\rho\sin\left(θ+ \frac {\pi}{4}\right)=3$$.
(1) Determine the Cartesian equation of curve C and the Cartesian equation of line l.
(2) Let P be any point on curve C. Determine the maximum distance from point P to line l and find the coordinates of point P.

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