The population P of deer in a preserve grows at a rate that is jointly proportional to the size of the deer population and the difference between the deer population and the carrying capacity of the population. If the carrying capacity of the preserve is 3000 deer, which of the following differential equations best models the growth rate of the deer population with respect to time t, where k is a constant? a. dp/dt = 3000 (1-P) b. dP/dt = 3000-kP c. dP/dt = k(3000-P) d. dP/dt = kP(1-P/3000) e. dP/dt = (2000-P)