Adisease is spreading throughout a campus. Each day, the percentage of people infected depends on the percentage of people infected the day before, according to the DTDS _ 6.8g" yn+1 ' 1 + 0.068% where 0 S gm 3 100. a) For this question, your answers must be accurate to at least two decimal places: so you must carry more decimal places (at least 4} in your successive calculations to avoid a cumulative roundoff error. If 3 "A: of the people are initially infected, what percentage of the people will be infected after the first day? Answer: Number What percentage of the people will be infected after the second day? Answer: Number What percentage of the people will be infected after the third day? Answer: Number b) Find all the equilibrium points of the dynamical system. If there is more than one, separate them with semi-colons (;). Give the exact value(s). Answer: a] c) The graph of the updating function of this DTDS is given below. Use it to draw some cobweb diagrams by hand and then answer the questions below. (i) What percentage of the people do you expect to be infected eventually (to two decimal places)? Answer: Number (ii) What are the units on the z-axis of the graph below? ' \ fixed points / ' days ' ' number of people infected %of people infected (iii) What are the units on the y-axis of the graph below? " solution number of people infected updating function %of people infected