q(x) 10x+5 X=0, T=100 K Figure 1 x=1 h = 100 W/(m2.K), Too=25 K A one-dimensional rod of unit length has its end at r = 0 maintained at 100 K and the other end at x=1 subject to a convective boundary condition. The temperature of the ambient fluid is T = 25 K and the heat transfer coefficient is h = 100 W/(mK). There is an electrical heater inside the rod that generates a volumetric heat which varies spatially and is given by (z) = 10x+5. Assuming steady state heat conduction (with unit thermal conductivity) in presence of a heat source: 1. (20 Pts) Deriving the steady-state analytical temperature Tanalytical (T). 2. (50 Pts) Solve the same problem numerically by discretizing the domain into N = 32 and N = 64 cells. Plot the temperature profile obtained numerically Thumerical (2) along with the analytical result of part 1 for the two grid resolutions.