Exercise A. a) Give an example of a equilibrium point using intuitive ideas from everyday life. In other words, describe an idea or context from everyday life that captures the concept of of an equilibrium point. It should not be a mathematical or scientic application that you might see around you but rather a non mathematical example (imagine you need to explain this concept to a fth-grader!). Explain whether this equilibrium point would be stable, unstable or semi-stable. b) Explain in which way(s) your example does capture the denition of an equilibrium point and in which way(s) it does not capture the denition of an equilibrium point. Exercise B. Consider the spruce budworm model. A bifurcation occurs approximately at the point (k,r) = (9.57, 0.4). Sketch the graph of the curve 1+ng and line 7" (1 %) for this situation (similarly to what we have done in class). Make sure to label your axes. Then use the overunder method to draw the associated phase portrait, indicating the stability of the equilibrium point(s)