Question

The population of a certain breed of rabbits introduced onto an isolated island is given by P(t) (0 st9) 9 t where t is measured in months. (a) Find the number of rabbits present on the island initially (at t 0) (b) Show that the population of rabbits is increasing without bound. (If an answer does not exist, enter DNE. ) 72 Therefore,ima 9-t while the numerator decreases As t approaches 9, the denominator approaches

Answer 1

Solution breed of sabbits certain Populaton sR a The solated island is given by intoodced on a PGt) (asteg) 72 9-t (a) 72 PlO) 9-0 the denominator while the numenradror s Constant As t aPproaches g appooaches to Thereforse lim 72 tg g-t That shouas that the population of increasing sithout bound. bope this u help you. I