1. There are initially 500 rabbits (x) and 200 foxes (y) on a farm. Using polymath a) Calculate the change of fox and rabbit concentrations over time over a period of up to 500 days b) Draw a graph of the number of rabbits versus the number of foxes for up to 800 days. Why does the graph look like a curve? The predatory animal - prey relationship is given the following two names with differential equality: dtdx=k1xk2xydtdy=k3xyk4y The growth rate constant of rabbits is k1=0.02 days s1 The rate of death constant of rabbits k2=0.00004/ (day x number of foxes) The growth rate constant of foxes after eating rabbits k3=0.0004 /(day x number of rabbits) The mortality rate constant of foxes is k4=0.04 days s1 c) change the parameters k1,k2,k3, k4. Which parameter can or cannot be greater than the other? Discuss