Question

1.6 pts Farmer Easter has started raising bunnies. He's brought in his local mathematician and learned the number of bunnies he'll have on his farm after t months can be modeled by 5,000 BO = 10.- where b is a positive constant. (a) How many bunnies did Farmer Easter have initially? (b) If Farmer Easter does nothing to change the growth of his bunny population, how many bunnies will he have in the long run? (c) Find an expression for the rate of change of the number of Farmer Easter's bunnies at time t.

Answer 1

- 7 No of Bunnies after Ÿ months is given as BLt) = 5000 It ge-bt a) Initically at 420 BLO) = 5000 = = 500 sooo = 179 it getxo So, Initially 500 bunnies were there b) In long lim Blt) = run when t lim 5000 t-to tgebt o - sooo to sooo Ito In long run sovo bennies will be there obt BCE) - - 5000 x ge x 66). (1790 GE2 4 = 45000 bê bt (it gebt)? Scanned with CamScanner