(d) The direction eld for the differential equation in part (c) is shown along with the phase trajectory corresponding to initial populations of 100 birds and 40,000 insects. Use the solution trajectory to describe how both populations change over time. The arrows should all be so that there is counterclockwise motion with time. \\\\'~'/////// \\\\\\\\-/////// ///r~\\\\\\\\\\\\\\ fl//~\\\\\\\\\\ ||l||||||||| Il\\\\///Ilfil l\\\\\\'////lll \\\\\\~'/////// l///'..-_.-._-._'-..-._-._-.-..-.. 60,000 " 20,000 40000 (e) Use your analysis from the previous part to make rough sketches of the graphs of the bird and insect populations as functions of time with the initial condition of 100 birds and 40,000 insects. Sketch two cycles of the loop. How are these graphs related to each other