
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
The specific heat capacity of a body with mass $m=2$ kg depends on the temperature as follows: $c=c_{0}(1+\alpha t)$, where $c_{0}=150$ J/kg$\cdot^\circ$C is the specific heat capacity at $0^\circ$C, $\alpha=0.05\ ^\circ$C$^{-1}$ is the temperature coefficient, and $t$ is the temperature in degrees Celsius. Determine the amount of heat that needs to be supplied to the body to heat it from $20^\circ$C to $100^\circ$C.

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