
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 $\rho = 2\cos\theta$, with the pole as the origin of the Cartesian coordinate system and the polar axis as the positive x-axis, establish the Cartesian coordinate system. The parametric equations of line $l$ are:
$$
\begin{cases}
x = -2 + 4t \\
y = 3t
\end{cases}
$$
(where $t$ is the parameter).
(1) Write the parametric equation of curve C and the standard equation of line $l$;
(2) Find the maximum distance from any point on curve C to the line $l$.

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