: 40 comes within 1C of its steady-state value. 14. Consider a bar of length 40 cm whose initial temperature is given by u(x,0) = x(60 x)/30. Suppose that a2 = 1/4 cm/s and that both ends of the bar are insulated. a. Find the temperature u(x, t). G b. Plot u versus x for several values of t. Also plot i versus ! for several values of x. c. Determine the steady-state temperature in the bar. Nd. Determine how much time must elapse before the = : 40 comes within 1C of its steady-state value. 14. Consider a bar of length 40 cm whose initial temperature is given by u(x,0) = x(60 x)/30. Suppose that a2 = 1/4 cm/s and that both ends of the bar are insulated. a. Find the temperature u(x, t). G b. Plot u versus x for several values of t. Also plot i versus ! for several values of x. c. Determine the steady-state temperature in the bar. Nd. Determine how much time must elapse before the =