calculus 2 word problem
Can you please tell me if this is correct?
A bacteria population starts with 400 bacteria and grows at a rate of r(t)=(450.268)e1.2567t bacteria per hour. How many bacteria will there be after three hours?
I'm not sure if I did it right. This seems too easy.
Yeap, I use the same criterion to see what's right :o
This seems too easy.
Here you are given the rate of growth, and not the actual population. Call this N(t). The problem is of the form
and sorry but I'm just too lazy to write down the constants :o So integrating this gives:
where N(0) is the initial population.
As the rate of growth in numbers of bacteria is positive there must be
Originally Posted by chocolatelover
more bacteria after 3 hours than you start with, so your answer cannot