The population growth rate of rabbits in a certain forest is proportional to the quantity of rabbits living in the forest at a given time. Initially, there are 900 rabbits in the forest. If M (t) represents the amount of rabbits in the forest, then the rate of rabbit population change is given by the following differential equation: dM = 10 (M - 700) 65. (a) Is the rabbit population decreasing faster when there are 600 rabbits or 500 rabbits in the forest? Explain your reasoning. 66. (b) Find y = M() , the particular solution to the differential equation with initial condition M(0) = 900 . 67. (c) A scientist proposes that the population of rabbits in a different forest can be approximated by the following series: Does the series converge or diverge? Justify your conclusion