3. (4 marks) Three difference equations of the form Pn=f(Pn1) are given below. For each graph y=f(x) and y=x, drawl a cobweb plot, and use that cobweb plot to analyse the long-term behaviour of each difference equation. (a) P0=0.8 and Pn=f(Pn1), where f(x)=x2. (b) P0=0.8 and Pn=f(Pn1), where f(x)=x20.1. (c) P0=0.8 and Pn=f(Pn1), where f(x)=x2+0.1. Are there windows of periodic behaviour within chaotic regimes in case the long-term behaviour is chaotic for any of these equations? What periodicity do they have? 3. (4 marks) Three difference equations of the form Pn=f(Pn1) are given below. For each graph y=f(x) and y=x, drawl a cobweb plot, and use that cobweb plot to analyse the long-term behaviour of each difference equation. (a) P0=0.8 and Pn=f(Pn1), where f(x)=x2. (b) P0=0.8 and Pn=f(Pn1), where f(x)=x20.1. (c) P0=0.8 and Pn=f(Pn1), where f(x)=x2+0.1. Are there windows of periodic behaviour within chaotic regimes in case the long-term behaviour is chaotic for any of these equations? What periodicity do they have