A population P is growing at the rate of 9% each year and at time t years
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A population P is growing at the rate of 9% each year and at time t years may be approximated by the formula P = P0(1.09)t, t ≥ 0 where P is regarded as a continuous function of t and P0 is the population at time t = 0.
a. Find an expression for t in terms of P and P0.
b. Find the time T years when the population has doubled from its value at t = 0, giving your answer to 3 significant figures.
c. Find, as a multiple of P0, the rate of change of population dP/dt at time t = T.
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Related Book For
Pearson Edexcel A Level Mathematics Pure Mathematics Year 2
ISBN: 9781292183404
1st Edition
Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran
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