
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
Find the mass of a plate \(D\) with surface density \(\mu = \frac{x}{y^5}\), bounded by the curves

\[
\frac{x^2}{16} + y^2 = 1, \quad \frac{x^2}{16} + y^2 = 3, \quad y = \frac{x}{4}, \quad x = 0 \quad \left(y \geq \frac{x}{4}, x \geq 0\right)
\]

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