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Instantaneous Rate of Population Growth

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The growth of a population is described by the model P(t)=100⋅e0.05tP(t)=100\cdot e^{0.05t}, where tt is the time in years. What is the instantaneous rate of change of the population at t=0t=0?

A

0.05  individuals/year0.05 \; individuals/year

B

105  individuals/year105 \; individuals/year

C

5  individuals/year5 \; individuals/year

D

100  individuals/year100 \; individuals/year

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