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Mathematik-Online problems:

Problem 935: Bacteria Population

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
A population of bacteria $ (P)$ is growing at the rate of

$\displaystyle \frac{d P}{d t} = \frac{1000}{1+0.5t}, $

where $ t$ is the time in days. It has been estimated that when $ t=0$, the population is $ 400$.
(a)
Find the population model as a function of $ t$.
(b)
What is the population value after $ 5$ days?
(c)
After how many days will the population reach $ 5000$?
(Author: Rafee )

Solution:

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  automatisch erstellt am 19. 11. 2007