Population Growth A population of bacteria P is changing at a rate of
where t is the time in days. The initial population (when t = 0) is 1000.
(a) Write an equation that gives the population at any time t.
(b) Find the population when t = 3 days.
To calculate: The equation of the population of bacteria at any time for the expression .
The provided expression is:
The log rule for integration:
Multiply both sides of the provided equation as below:
Integrate both the sides of above equation:
It is assumed that:
Differentiate equation (2) with respect to t.
Multiplying both sides of equation (3) by :
To calculate: The population of bacteria when for the expression
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