In this Application Exercise, we will introduce a branch of mathematical biology called population dynamics. We will do this by studying a simple population growth model with very interesting behaviour. Your first exercise is to download and work through the following Jupyter notebook. Then answer the question below. Population dynamics Exc. 1.ipynb 1 . Biggest r The notebook proposes a population model * (172 = f(Q7171) i where f(:v) = r(1 x)$. Here 1" 2 Dis a growth parameter. The model requires qn E [0, 1] , so the domain of f is [0, 1] , and to guarantee that the sequence stays inside this interval we also need to make sure that the range of f is contained in [0,1]. With this in mind, what is the largest value of rthat we can allow? Note: This question is automatically graded. For that to work, you have to give a numerical