(1) The glass sheet shown below is heated throughout its volume from laser irradiation at a volumetric energy generation rate that depends on position in the glass: q"" = Ae-0.1x (W/m), where A is a constant. As shown, at steady state the top surface of the sheet is at constant temperature T = 50 C. The bottom surface is perfectly insulated. The thickness of the wall is L = 1 m and the thermal conductivity of the glass is k = 0.5 (W/m .K). X Laser irradiation vrt q"" = Ae-0.1 W/m k = 0.5 W/(m.K) T = 50 C Perfectly insulated surface L = 1 m (a) Consider all heat transfer to occur in the x-direction only. Solve for the temperature distribution in the wall, T(x). The only variables in your equation should be x and A. (b) If the glass cannot exceed 80 C at any position, what is the maximum value of A?