Problem 9 (Haberman 1.4.2) Consider an equilibrium /steady state solution 15* of the one-dimensional heat equation on the interval 0 S at g L with constant con- ductivity K and internat thermal energy rate-density generation/forcing modeled by 62(3) = as. (a) Find an expression for the heat energy generated per unit time along the entire rod. (1)) Find an expression for the rate of heat energy owing out of the rod at the ends 35:0 and atm= L (in terms ofia). (c) What relation should hold between your answers to the rst two parts