Chapter 6, Problem 48RE

(a)

To determine

To calculate: The value of k from the logistic equation $P\left(t\right)=\frac{4800}{1+14e^{-0.15t}}$.

(b)

To determine

To calculate: The value of carrying capacity from the logistic equation $P\left(t\right)=\frac{4800}{1+14e^{-0.15t}}$.

(c)

To determine

To calculate: The initial population from the logistic equation $P\left(t\right)=\frac{4800}{1+14e^{-0.15t}}$.

(d)

To determine

To calculate: The time when population will be half of carrying capacity of logistic differential equation $P\left(t\right)=\frac{4800}{1+14e^{-0.15t}}$.

(e)

To determine

The logistic differential equation that has the solution $P\left(t\right)=\frac{4800}{1+14e^{-0.15t}}$.