Solve for the temperature distribution of a length of 10 cm long, thin bar and the following values k = 0.49 cal/(s.cm: C), ax=2 cm, and at=0.1 s. At t=0, the temperature of the bar is zero and the boundary conditions are fixed for all times at T(0) = 100C and T(10) = 50C. Note that the bar is aluminum with C=0.2174 cal/(gal: C) and p = 2.7 g/cm. Approximate the temperature at x=0.4 cm after 0.03 seconds. Solve for the temperature distribution of a length of 10 cm long, thin bar and the following values k = 0.49 cal/(s.cm: C), ax=2 cm, and at=0.1 s. At t=0, the temperature of the bar is zero and the boundary conditions are fixed for all times at T(0) = 100C and T(10) = 50C. Note that the bar is aluminum with C=0.2174 cal/(gal: C) and p = 2.7 g/cm. Approximate the temperature at x=0.4 cm after 0.03 seconds