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| PAGE: 452 | SET: Exercises | PROBLEM: 4 |
The size of poulation after 
hours is 
.
Poplulation after 
hours is 
.
Population after 
hours is 
.
(a)
Find the relative growth rate.
Write down the population size as 
and time between two samples is 
hours.
Substitute 
and and 
in the above equation.
The growth rate in percentage is 
%.
(b)
Find Initial size of culture 
.
Write down the population size as 
and time between two samples is 
hours.
Substitute , 
and 
in the above equation.
Initial size of culture is 
.
(c)
Expression for Population of bacteria after hours is .
Substitute 
and 
in the above equation.
Expression for population of bacteria after hours is .
(d)
Find the number of cells after 
hours.
The equation is
Substitute and and 
in the above equation .
.
The number of cells after hours is .
(e).
Rate of growth after hrs.
Rate of change of growth : 
.
Substitute 
and 
in the above equation.
.
Rate of change of growth of the bacteria is .
(f)
Find the time when the population reaches 
.
Substitute 
, and in the equation .
hours.
The time when the population reaches is hours.
(a) The growth rate in percentage is %.
(b) Initial size of culture is .
(c) Expression for population of bacteria after hours is .
(d) The number of cells after hours is .
(e) Rate of change of growth of the bacteria is .
(f) The time when the population reaches is hours.
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