Homework Sourseunder certain assumptions of limitations to popular growth t
under certain assumptions of limitations to popular growth, the popular p(in billions) of the world is given by the logistic equation p = 10/1+0.65e^-0.060t, where t is the number of years after the year 2000. Find the expression for dP/dt/. Please explain how you got your answer.
Solution
p = 10/(1+0.65e^-0.060t) dP/dt = d/dt(10/(1+0.65e^-0.060t)) dP/dt = -10/((1+0.65e^-0.060t)^2 * d/dt((1+0.65e^-0.060t)) dP/dt = -10/((1+0.65e^-0.060t)^2 * -0.033e^-0.06t dP/dt = 0.33e^-0.06t/(1+0.65e^-0.060t)^2
