
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 Cartesian coordinate system $(xOy)$, the parametric equation of curve $C_1$ is given by $ \begin{cases} x=2\cos φ \\ y=\sin φ \end{cases} (φ \text{ is the parameter})$, and in the polar coordinate system with $O$ as the pole and the positive semi-axis of $x$ as the polar axis, curve $C_2$ is a circle with center at $(3, \frac {π}{2})$ and radius of $1$.
(I) Find the Cartesian equations of curves $C_1$ and $C_2$;
(II) Let $M$ be a point on curve $C_1$ and $N$ be a point on curve $C_2$, find the range of values for $|MN|$.

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