must solve ALL, and must SHOW WORK for a like. if not ill dislike

Problem 2 Performance of a rectangular fin Learning objective: Using finite difference to assess fin performance with different thermal conductivities. A rectangular fin of thickness 1 mm and length 10 cm is attached to a wall at 150C. The temperature of the ambient air around the fin is 25C, and the convective heat transfer coefficient is 40 W/mK. (a) Find the steady-state temperature profile of the fin by dividing the rod into five equal sized domains assuming that the heat loss from the end of the fin is negligible. Assume the fin k = 40 W/m-K. (b) Repeat part a) assuming ten equal sized domains. (c) Calculate the tip temperature using the exact solution for this boundary condition. Did doubling the number of domains significantly improve the quality of the finite difference results ? (d) Using 5 equal-sized domains in the calculations, create a plot of the temperature profile in the fin assuming values of k = 8,40 and 200 W/m-K. Does the assumption of negligible heat loss get better or worse with increasing k? Explain this observation