Math 308, Matlab assignment 2 due October 14 in class Summary: Math 308, Matlab assignment 2 due October 14 in class plot(x,y) plots entries of the vector y versus entries of the vector x. plot(x1,y1,x2,y2) plots two graphs on the same plot. They are automatically done in different colors. You can also modify the style of each graph: try plot(x1,y1,'x:',x2,y2,'--') and use help plot for more details. You can also add a new graph to the previous plot by using hold on / hold off commands. Use legend('first graph','second graph') to label the graphs, xlabel('x'), ylabel('y'), title('Title') to label the axes and the figure, and grid on to add a grid if you want. 1. The file RPS.m models the evolution of interacting Rock-Paper-Scissors populations. With the growth parameter a = 1.1 and initial conditions R(0) = 2, P(0) = 0.5, S(0) = 1, answer the following question: which population is the largest at the time (a) t = 1 (b) t = 5 (c) t = 10? You can attach the plots if you like. The easiest way to do this problem is to imitate what is done in the diary. 2. The predator-prey equations are also called the Lotka-Volterra equations. They were originally introduced in the 1920's by the Italian mathematician Umberto Volterra to explain why, during the first World War, a larger percentage of catch of Italian fishermen consisted of sharks and other fish Collections: Mathematics