Suppose the density field of a one-dimensional continuum is rho = exp[sin(t − x)] and the velocity field is v = cos(t − x). What is the flux of material past x = 0 as a function of time? How much material passes in the time interval [0, π/2] through the points: (a) x = −π/2? What does the sign of your answer (positive/negative) mean? (b) x = π/2, (c) x = 0