
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 polar equation of curve C is $2\rho\sin\theta+\rho\cos\theta=10$. The curve $c_1$ is defined parametrically by $\begin{cases} x=3\cos\alpha \\ y=2\sin\alpha \end{cases}$ (with $\alpha$ as the parameter).
(Ⅰ) Determine the standard (Cartesian) equation of the curve $c_1$;
(Ⅱ) If a point M moves on curve $c_1$, find the minimum distance from M to curve C.

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