Please do Problem 6 and show all the steps and calculations, thanks

4. Write the boundary conditions and solve for the temperature field for the three cases given below. Give your results for the following two materials: carbon steel and wood. (a) Consider an unusually warm day in January, where there are known temperatures at the lower (Ti = 0 C) and upper boundaries (Tu = 15 C) of the slab. (b) Consider the effects of perfectly insulating the bottom of the slab, where there is an insulated boundary at the lower and a known temperature at the top (Tu = 15 C). (c) Consider the warm day in January, where the wind is blowing and there is a known temperature at the lower (Ti = 0 C) boundary and a known free stream temperature near the upper boundary (Ta = 15C). You can assume there is no radiation acting on the upper boundary and that there is no significant conduction coming through the air, but that there is very light wind which results in convection (hlightwind = 60W/m2. K). 5. Find the numeric value for the temperature at both the upper and lower boundary and in the middle of the slab. 6. In MATLAB, plot the temperature distribution across the slab for each case on the same figure. Clearly identify your axes and which curve is associated with which case. 4. Write the boundary conditions and solve for the temperature field for the three cases given below. Give your results for the following two materials: carbon steel and wood. (a) Consider an unusually warm day in January, where there are known temperatures at the lower (Ti = 0 C) and upper boundaries (Tu = 15 C) of the slab. (b) Consider the effects of perfectly insulating the bottom of the slab, where there is an insulated boundary at the lower and a known temperature at the top (Tu = 15 C). (c) Consider the warm day in January, where the wind is blowing and there is a known temperature at the lower (Ti = 0 C) boundary and a known free stream temperature near the upper boundary (Ta = 15C). You can assume there is no radiation acting on the upper boundary and that there is no significant conduction coming through the air, but that there is very light wind which results in convection (hlightwind = 60W/m2. K). 5. Find the numeric value for the temperature at both the upper and lower boundary and in the middle of the slab. 6. In MATLAB, plot the temperature distribution across the slab for each case on the same figure. Clearly identify your axes and which curve is associated with which case