Exercise A. Consider populations of catfish (C) and bald eagles (E). The equations describing the evolution of these two populations are: C' = 4C - 2CE E' = -3E + 3CE The goal of this exercise is to use Euler's method to approximate a trajectory (and thus the evolution of this system). a) Suppose we start at t = 0 with 1 catfish and 1 bald eagle. Use Euler's method with a step size of At = 0.5 to estimate the populations at t = 1. b) On a graph, draw the points corresponding to the populations at t = 0, t = 0.5 and t = 1 as well as the vectors multiplied by At that you have used in Euler's method