The one-dimensional slab below has constant properties and no internal heat generation. the slab is initially at a uniform temperature ti. an electrical heater at the bottom surface is energized for t> 0, providing a uniform heat flux at the surface x=0. all boundaries are perfectly insulated. a) simplify the heat conduction equation and provide the necessary boundary conditions and initial condition. b) on t-x coordinates, sketch the temperature distributions for the initial condition and for three times after the heater is energized. will a steady-state temperature distribution ever be reached? c) sketch the flux versus time for planes x=0, x=l/2, and x=l.