Chapter 6.4, Problem 18E

(a)

To determine

To calculate: The value of k for the logistic differential equation $\frac{dP}{dt}=0.4P-0.00025P^2$.

(b)

To determine

To calculate: The value of carrying capacity for the logistic differential equation $\frac{dP}{dt}=0.4P-0.00025P^2$.

(c)

To determine

To graph: The slope field for the logistic differential equation $\frac{dP}{dt}=0.4P-0.00025P^2$

(d)

To determine

The value of P at which the population growth rate is greatest for the logistic differential equation $\frac{dP}{dt}=0.4P-0.00025P^2$.