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Mathematik-Online problems:

Problem 444: Differentiation - 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 is introduced into a culture. The number of bacteria can be modeled by

$\displaystyle P=200 \; \left( 1+\frac{4t}{50+t^2} \right),$

where $ t$ is the time in hours.

Find the rate of change of the population when $ t=0$ and $ 5$ hours.

(Author: Rafee )

see also:

[Solutions]
  automatisch erstellt am 14. 10. 2004