The size of a population, P, at time t minutes is to be modelled as a continuous
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The size of a population, P, at time t minutes is to be modelled as a continuous variable such that the rate of increase of P is directly proportional to P.
a. Write down a differential equation that is satisfied by P.
b. The initial size of the population is P0. Show that P = P0ekt, where k is a positive constant.
c. The size of the population is 1.5P0 after 2 minutes. Find when the population will be 3P0.
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ANSWER a The rate of increase of P is directly proportional to P can be written as dPdt kP where k i...View the full answer
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Related Book For 
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
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