It is predicted that in t years, the population of a country will be P (t) = 50e ^ (0.02t) million inhabitants. A) What will be
the rate of change of the population in 10 years. B) What will be the relative rate of the population in t years? Is this rate constant?
1 answer:
A) What will be the rate of change of the population in 10 years.
Substitute t = 10, to the derivative of P(t)
Therefore, the rate of change of the population in 10 years is 1.02 million.
B) What will be the relative rate of the population in t years? Is this rate constant?
The rate is not constant, as it depends on how much time t has passed.
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