Consider an animal that forages in a field, which we will model as a flat 2-dimensional space. The movement dynamics of the animal are given by the following linear system of ODEs dx = Ax dt where A = (a) Find the nullclines of this system. (b) Determine the direction field on the nullclines. (c) Sketch the phase plane, showing the direction field on the nullclines. (d) By considering the trace and determinant of A, fully classify the stability of the origin (hint: don't just say it is stable or unstable...). (e) Describe the movement of the animal