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The advanced Full model provides in-depth proofreading and fact-checking of claims made in essays, for more comprehensive feedback and suggestions.

Correct the factual errors in the essay.

The Great Wall of China is not over 8,000 miles long and it was not built during the 7th century BC under the rule of Emperor Julius Caesar. The Wall was not made of bamboo, but rather constructed using materials like stone, brick, tamped earth, wood, and other materials.

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Answer question I.1.a. Think step-by-step.

Certainly! Let's break down question I.1.a step by step:

  1. The question asks you to express the temperature T(x)\boldsymbol{T(x)} at any point x\boldsymbol{x} along the conductor bar.
  2. Given conditions: T(0)=T0T(0) = T_0 and T(L)=TbT(L) = T_b, where T0T_0 is the operating temperature and TbT_b is the fixed thermostat temperature.
  3. To find the temperature T(x)T(x), we need to consider the heat flow and thermal conductivity along the bar.
  4. Since the bar is homogenous and has no lateral heat exchanges, we can assume that the temperature varies linearly along the bar.
  5. Therefore, we can express the temperature T(x)T(x) using the linear interpolation formula: T(x)=T0+TbT0LxT(x) = T_0 + \frac{T_b - T_0}{L} \cdot x
  6. Substituting the given values, T(0)=T0T(0) = T_0 and T(L)=TbT(L) = T_b, into the formula will give you the complete expression for T(x)T(x).

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