
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
Let $K$ be the measure of the area bounded by the $x$-axis, the line $x = 10$, and the curve defined by
\[f={(x,y)\quad |\quad y=x^2 \text{ when } 0 \le x \le 3, y=3x-6 \text{ when } 3 \le x \le 10}.\]
A) 90.5  
B) 94.5  
C) 99.5  
D) 104.5

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