007A Sample Midterm 2, Problem 4 Detailed Solution

From Math Wiki
Jump to navigation Jump to search

Assume    denotes the size of a population at time    and that    satisfies the equation:

Let    Graph    as a function of    and identify all equilibria. That is, all points where  

Background Information:  
If    then    or  


Step 1:  
First, we start by graphing  
007A MT2 4 GP2.png
Step 2:  
Now, we want to solve
Then, we have    or  
This means either    or  
Therefore, the equilibria occur at

Final Answer:  
        See Step 1 for graph

Return to Sample Exam