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(A) In population ecology,exponential growth is described by the differential equation $dN/dt = rN$,where $N$ is the population size,$t$ is time,and $

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$N_t = N_0 e^{rt}$

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(A) In population ecology,exponential growth is described by the differential equation $dN/dt = rN$,where $N$ is the population size,$t$ is time,and $r$ is the intrinsic rate of natural increase.To find the integral form of this equation,we integrate the differential equation over time.The resulting integral form is $N_t = N_0 e^{rt}$,where $N_t$ is the population density after time $t$,$N_0$ is the population density at time zero,$r$ is the intrinsic rate of natural increase,and $e$ is the base of natural logarithms $(2.71828)$.Therefore,option $A$ represents the integral form of exponential growth.

Which of the following equations represents the integral form of exponential growth?

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