Answer the following please♥️

1.In an hour class would describe the rapid increase of the world population in the past 50 years as—————— growth.

A village wanted to increase its population by paying people to live in their village. In , their current population was estimated to be . After a few years, they found out that their population increases by every year. If they wanted to increase their population to , at what year will they reach it? Round the years to the nearest ones.

Consider a generalized rabbit population model, as described in the textbook:{xn+1 = αxn+ βyn yn+1 = γαxn,
where xn is the number of the adult female rabbits in n-th generation, yn is the number of newborn female rabbits. Here α is the survival rate for the adult rabbits, β is the survival rate for the newborn rabbits, γ is the fertility parameter.

1. Is it possible that the population eventually dies out for some parameters α, β, γ? If ’yes’ describe all such parameters α, β, γ. Provide a Maple example.
2. Is it possible that we do not observe (numerically) either exponential growth or exponential decrease of the rabbit population with time? Explain this phenomenon with calculations. Provide a Maple example