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Mathematik-Online problems:

Problem 936: PDA Units

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
The number of Personal Digital Assistants (PDA) units in the city of Toronto has increased over the period from $ 1995$ to $ 2000$ at the rate of

$\displaystyle \frac{d X}{d t} = 4 \; e^{0.1t}, $

where $ t$ is the time in years, $ t=5$ corresponds to $ 1995$, and $ X$ is the number of units in thousands. In 1990, the number of units has been recorded to be $ 20$ thousands units.
(a)
Find the model of the number of the PDA units as a function of $ t$.
(b)
Using the model, find the projected number in $ 2005$.
(Author: Rafee )

Solution:

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  automatisch erstellt am 19. 11. 2007