Hand draw your plots. You do not need to use Sagemath or Excel to plot. 2 |pagePage | 6 1.7 Further #2: The growth rate of a hunted lion population, L, is given by the differential equation L' = 0.1L (1 - 160) -0.2L The current population is 80 lions. Using Euler's method with a step size of 0.1 years, find the (approximate) population 0.2 years later. Fill in the table below with the indicated values as well as putting your answer in the final box. Calculate without Sagemath. At = L(t ) L' = f(L) AL = L' . At 0 80 - 0. 2 0.1 L (0.2) = 79 6 |PagePage |4 1.6 Further #4: This time series graph describes the spread of an infectious disease. Sketch the trajectory corresponding to this time series. Use Healthy as the 'x' axis (horizontal) and Infected as the 'y' axis (vertical). Include labels and units on your axes. 10000+ 8000- infected - healthy 6000+ 4000+ 2000+ 10 20 30 40 time Hand draw your plots. You do not need to use Sagemath or Excel to plot.Page | 6 Page 15 1.6 Further #7: How are a trajectory and a time series graph different? In particular, what are the axes of each? (Time?, State variable?) Time series: x axis is and y axis is Trajectory: x axis is and y axis is Which one can reasonably be drawn on top of a vector field