Assume steady-state, one-dimensional heat conduction through the symmetric shape shown.

Assuming that there is no internal heat generation, derive an expression for the thermal conductivity k(x) for these conditions: A(x) = (1 - x), T(x) = 300(1 - 2x – x3), and q = 6000 W, where A is in square meters, T in Kelvin's, and x in meters.

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