2.5 10. Suppose that a population obeys the logistic equation dy = 0.2y (1-10) fort > 0. dt If the initial population is yo = 4, find the time at which the population doubles.

The population of a culture of bacteria is modeled by the logistic equation P(t)=14,2501+29e0.62t where t is in

Use log21=0,log22=1, and log24=2 to estimate log23.

The number of bacteria in a culture is increasing according to the law of exponential growth. After 1 hour there are 100 bacteria, and after 2 hours there are 200 bacteria. How many bacteria will there be after 3 hours?

An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?

Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such that the initial population at time t=0 is P(0)=P0. Show algebraically that cP(t)P(t)=cP0P0ebt .