Help me please- exam tomorrow...

[jo-joe]

QUESTION:
:?
The size of a bacterial population maintained in a culture at time t, denoted by N(t) is given by: N(t)=2000((1+t)/(8+t[sup:hnhpx4k3]2[/sup:hnhpx4k3]))
Determine the:
1. initial population size
2. time when the maximum population size is attained
3. maximum population size
4. population size as t tends to infinity
:?:

 

[Deleted member 4993]

QUESTION:

The size of a bacterial population maintained in a culture at time t, denoted by N(t) is given by: N(t)=2000((1+t)/(8+t[sup:3c8241vy]2[/sup:3c8241vy]))
Determine the:
1. initial population size --------------------------------------------The value of N(t) at t=0

Spoiler: :3c8241vy

N(0) = 2000(1+0)/(8+0) = 2000/8 = 250[/spoiler:3c8241vy]
2. time when the maximum population size is attained----------------------------If you have not done differentiation - plot the function
3. maximum population size
4. population size as t tends to infinity----------------------------------------------Find the limit as t ? infinity

Spoiler: :3c8241vy

Please show us your work, indicating exactly where you are stuck - so that we know where to begin to help you.

 

[jo-joe]

I tried differentiating it... got stuck...

 

[Deleted member 4993]

I tried differentiating it... got stuck...

Please show your work - we'll unstuck you....

For the fourth part you have to find the limit - please show your work regarding that too....