Consider the recursive relation 9xt X++1 = c 1+ ¤t where c > 0 is an unknown constant. (a) Find all equilibrium points. Answer: x = 0 and x = -1+9*c Your last answer was interpreted as follows: Your...

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Extracted text: Consider the recursive relation 9xt X++1 = c 1+ ¤t where c > 0 is an unknown constant. (a) Find all equilibrium points. Answer: x = 0 and x = -1+9*c Your last answer was interpreted as follows: Your last answer was interpreted as follows: -1+9. c (b) For which values of c is the zero equilibrium stable and the other one unstable? Answer: c < :="" (c)="" for="" which="" values="" of="" c="" is="" the="" zero="" equilibrium="" unstable="" and="" the="" other="" one="" stable?="" answer:="" c="">< +="" (d)="" let="" us="" call="" c*="" the="" critical="" value="" that="" distinguishes="" the="" two="" cases="" above.="" what="" is="" the="" value="" of="" c*="" answer:="" c*="" (e)="" in="" the="" case="" of="" c="c*," we="" cannot="" say="" anything="" about="" the="" stability="" since="" |f'(7)|="">