Assume the temperature of the exhaust in an exhaust pipe can be approximated by T = T0(1 + ae-bx)[1 + c cos(omega t)], where T0 = 100 degree C, a = 3, b = 0.03 m-1, c = 0.05, and omega = 100 rad/s. If the exhaust speed is a constant 2 m/s, determine the time rate of change of temperature of the fluid particles at x = 0 and x = 4 m when t = 0. Is the flow steady or unsteady? If unsteady what causes it?