Given the situation below, determine if this is an example of a linear or exponential growth. Be sure to explain your answer.

 

The number of your TikTok followers increases at a rate of 25% each month.

What is the difference between exponential growth and exponential decay??

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

which table represents exponential growth?