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A wall is made from an inhomogeneous (nonuniform) material for which the thermal conductivity varies through the thickness according k = ax + b, where

A wall is made from an inhomogeneous (nonuniform) material for which the thermal conductivity varies through the thickness according k = ax + b, where a and b are constants. The heat flux is known to be constant. Determine expressions for the temperature gradient and the temperature distribution when the surface at x = 0 is at temperature T1.

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