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(Solution Library) The rate of growth d P / d t of a population of bacteria is proportional to the square root of t, where P is the population size and

Question: The rate of growth \(d P / d t\) of a population of bacteria is proportional to the square root of \(t\), where \(P\) is the population size and \(t\) is the time in days \(0 \leqslant t \leq 10\). That is,

\[\frac{d P}{d t}=k \sqrt{t}\]

The initial size of the population is 500 . After 1 day the population has grown to 600 . Estimate the population after 7 days.

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Solution: The downloadable solution consists of 1 pages
Deliverable: Word Document


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