
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 polar coordinate system, there is a line $l:ρ\sin(θ+ \frac {π}{3})=4$ and a circle C: $ρ=4\sinθ$. Establish a rectangular coordinate system xOy with the polar point O as the origin and the polar axis as the positive semi-axis.

1. Find the rectangular coordinate equation of the line l and the parametric equation of the circle C.
2. Given that point P is on circle C, and the distances from P to l and the x-axis are $d_1$ and $d_2$ respectively, find the maximum value of $d_1+d_2$.

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