Science:Math Exam Resources/Courses/MATH103/April 2006/Question 07 (c)

MATH103 April 2006

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Question 07 (c)

In an experiment involving a bacteria population, ${\displaystyle N(t)}$ denotes the size of the population (measured in thousands of individuals) as a function of time, starting at ${\displaystyle t=0}$. The initial population is ${\displaystyle N(0)=N_{0}}$.

c) What happens to the solution from part (b) as ${\displaystyle t\to 1}$? Can you find an initial population ${\displaystyle N_{0}}$ for which this problem doesn't occur for any time t?

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