2. Assume an inter-diffusion profile for a fast and slow species that has the form c(x)=cotanh(ex) a. Determine the position of a Matano interface and plot the concentration profile for distances on both sides of that interface. b. Prepare a plot of the position from the Matano interface (left and right) as a function of concentration, c. c. Calculate D~(c) for positions to the left and right of the Matano interface and plot D~(c) as a function of c. Explain clearly how your calculations were done for all of the plots shown. For simplicity, assume that co is equal to unity and that the time needed to calculate D~(c) is also unity in the appropriate units. (You will need to use a mathematical software package for these calculations.)