Reference no: EM133423588

Question: Consider a small, shallow body of water that initially has a constant amount of nutrient. A cypress toward one edge of the water consumes nutrients at a constant rate, so that at each time step the amount of nutrients in the corre- sponding cell decreases by a ?xed amount. Suppose shore is on three sides and a larger body of water is on the fourth side. Nutrients from the larger body of water diffuse into the smaller area. Mode] and visualize the situa- tion for the small body of water. Find a rate of diffusion and a rate of nutri- ent consumption so that the tree always has nourishment- Use the formula for diffusion in the section "Heat Diffusion" or the ?lter variation in Project 3.