
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
Transform the ellipse $\dfrac{x^2}{9} + \dfrac{y^2}{4} = 1$ using the transformation $\varphi: \begin{cases} & x'' = \lambda x (\lambda > 0) \\ & y'' = \mu y (\mu > 0) \end{cases}$, to obtain the circle $x''^2 + y''^2 = 9$, then determine the values of the positive parameters $\lambda$ and $\mu$.

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