SOLUTION: A toxin is introduced into a bacterial colony, and t hours later, the population is given by N(t)=5000(1+t)e^(-.2t) a) what was the population when the teoxin was introduced?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: A toxin is introduced into a bacterial colony, and t hours later, the population is given by N(t)=5000(1+t)e^(-.2t) a) what was the population when the teoxin was introduced?       Log On


   



Question 860329: A toxin is introduced into a bacterial colony, and t hours later, the population is given by
N(t)=5000(1+t)e^(-.2t)
a) what was the population when the teoxin was introduced?
b) when is the population maximized
c) find the maxiumu population?
plz explain step by step

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
This is exponential DECAY: N%28t%29=5000%281%2Bt%29e%5E%28-.2t%29.

All three of your questions are the same. At t=0, N=5000. After that, N is less. e%5E0=1.