Because of high mortality and low reproductive success, some fish species experience exponential decline over many years. Atlantic Salmon in Lake Ontario, for example, declined by 80% in the 20-year period leading up to 1896. The population is now less at risk, but the major reason for the recovery of Atlantic Salmon is a massive restocking program. For our simplified model here, let us say that the number of fish per square kilometer can now be described by the DTDS "t+1 = 0.3xt + c, where c is the number of fish per square kilometer restocked every year, and * denotes the number of Atlantic Salmon per square kilometer in Lake Ontario in year t (measured since the start of this restocking program). a) What is the updating function of this DTDS ? Answer: f (x) = b) What is the equilibrium point p of this DTDS ? FORMATTNG: Give the exact answer, not a decimal approximation. Your formula may include c. Answer: p = c) Determine the stability of the equilibrium point p. Answer: The equilibrium point is Click for List because Click for List d) If we assume that there are c = 85 fish per square kilometer restocked annually, find the general solution formula for the DTDS, for any initial condition x. FORMATTNG: Use the letter a for the initial condition 0 because Mobius doesn't accept subscripts. Answer: it =