
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
A conductor has the shape of a truncated cone. Its diameter in a section located at a distance $x$ from the smaller section is given by $y = a + \frac{x(b-a)}{h}$, where $a$ is the diameter of the smaller section, $b$ is the diameter of the larger section, and $h$ is the height of the cone. Given the specific resistance $\rho$ and the formula for calculating the elemental resistance $dR = \rho \frac{dx}{S(x)}$, where $S(x)$ is the cross-sectional area, find the total resistance $R$.

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