
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 testing a ship, the following table shows the relationship between speed \(v\) (knots) and power \(H\) (horsepower):

\begin{tabular}{|c|c|c|c|}
\hline
\(H\) & 300 & 780 & 1420 \\
\hline
\(v\) & 5 & 7 & 9 \\
\hline
\end{tabular}

Assuming that the relationship between \(H\) and \(v\) is a quadratic function, find the power of the ship at a speed of 6 knots.

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