Here you will be plotting results and commenting in writtenform. Hence, you must show your work in the form of some numbers,some plots, and some simple statements. You may write your answersout on a sheet of paper (pen/pencil & paper), do this in anelectronic spreadsheet or word processing document. You may submityour work and answers electronically or turn it in physicallybefore end of class (1:15 pm) on February 27, 2018. In discretetime, the logistic equation can be written (see the hint on ProblemSet HW 2, question 3): where N is the population, our time isrepresented by “t” (let’s use days), K is the “carrying capacity”,r is the growth rate. Consider the growth of a population ofbacteria. At initial time, N(0) = 0.2 bacteria. The net growth ratehas a value, r = 1. Carrying capacity, K = 1. Don’t worry about theunits here (you can think of them as fractions of 1000individuals). You are going to plot out the population to the 30thday, starting at day 0. You can use a spreadsheet or yourcalculator and paper/pencil, or software like matlab (if you usethat). There are many graphical software packages that can manageplotting this. a) What is the population on each day - plot this.b) Change the net growth rate to, r = 2. What is the population oneach day – plot this. Is a pattern emerging? What would you callthis pattern? c) Change the net growth rate to, r = 3. What is thepopulation on each day – plot this. Is this pattern similar to b ordifferent? What is happening to this population? Is it reachingcarrying capacity, K? d) change the net growth rate to, r = 3.001(a tiny change). Now what happens?