SOLUTION: The size of certain insect poplation is given by
P(t) =2000 e^(0.01t), where t is measured in days.
a) How many insects were present initially?
b) what is the growth rate
Algebra.Com
Question 1157354: The size of certain insect poplation is given by
P(t) =2000 e^(0.01t), where t is measured in days.
a) How many insects were present initially?
b) what is the growth rate?
c) At what time will the population double?
d) give a differential equation satisfied by p(t)?
d) how fast the becteria is growing when it reaches 10.000?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The size of certain insect population is given by
, where is measured in days.
a) How many insects were present initially?
the initial amount is
b) what is the growth rate?
The growth rate is
c) At what time will the population double?
double amount is
......take natural log of both sides
.........
âdays
d) give a differential equation satisfied by ?
take the constant out : '=* '
'
apply the chain rule:
,
'
substitute back
'
'
d) how fast the bacteria is growing when it reaches ?
âdays
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