Estimate the instantaneous rate of change of P(t) = 2t² + 3 at the point t = – 3
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Given:
In 2010, the population of a town = 2000
Every year, it increase by 1.5%
To find the equation P(t) which represents the population of this town t years from 2010.
Formula
If a be the original population of a town and it increases by b% every year, after t year the population will be
Now,
Taking, a =2000, b = 1.5 we get,
or,
Hence,
The population of this town t years from 2010 P(t) = , Option D.
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