In a slab of thickness 0.1 m, insulated on one face heat is generated as per the rate q = 10^6 × cosπx/0.2 . where x is the distance in m from the insulated face. If the centre temperature is not to exceed 150°C and the thermal conductivity of the material is 52 W/mK, determine the surface temperature. Also find the heat transfer rate at the surface and the convection coefficient required to dissipate the heat to a fluid at 40°C.

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