Answer: Population Growth The rate of growth of a population of bacteria is proportional
Chapter 5, Problem 52(choose chapter or problem)
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 \((0 \leq t \leq 10)\). 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.
Text Transcription:
d P / d t
(0 \leq t \leq 10)
\frac d P d t=k \sqrt t
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