
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 in the Cartesian coordinate system, the parametric equation of ellipse C is $$\begin{cases} x=3\cos\theta \\ y=2\sin\theta \end{cases}$$ (where $\theta$ is the parameter).
(I) Establish a polar coordinate system with the origin as the pole and the positive x-axis as the polar axis, and find the polar equation of ellipse C;
(II) Let M$(x, y)$ be any point on ellipse C, find the range of values for $x+2y$.

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