Integral question-- please help?
A bacteria colony increases in size at a rate of
4.0588e1.3t bacteria per hour.
If the initial population is 44 bacteria, find the population four hours later. (Round your answer to the nearest whole number.)
- VamanLv 72 years agoFavorite Answer
dn/dt = 4.0588 exp1.3t.
Integrate it to get
n=n0/1.3 exp 1.3 t. no=44
n= 44/1.3 exp 1.3*4 (t=4)=6135.4 bacteria after 4 hours.
- davidLv 72 years ago
db/dt = 4.0588e1.3t bacteria per hour.
b = 2.0294e1.3t^2 + c
44 = c
b = 2.0294e1.3t^2 + 44
b = 2.0294e1.3(4)^2 + 44
... use a calculator