3 A researcher is studying tumours in mice. The growth rate for the volume of the tumour V(t) in cm is given by 2: =1.45V(2 1n(V +1)) (a) Find all the equilibria and determine their stability using the stability condition. (b) Draw the phase plotf(V) versus V wheref(V) = V' . You may nd it helpful to use Desmos or Wolfram Alpha to plot the graph off(V) versus V (both are free to use online), or you can plot it by hand if you like. On the plot identify each equilibrium as stable or unstable. 3 (c) Draw direction arrows for the case where the tumour starts at size 3 cm and for the case where the tumour starts at size 96m3. Explain in biological terms what happens to the size of each of these tumours at time progresses