Consider the dierential equation
(dx/dt)= (1-x)x-px;
that models the population of shes in a lake with harvesting, but where the harvesting is
proportional to the size of the population. analyse the solutions (critical points, stability,
phase diagram, sketch of solutions) for all dierent values of p. plot a bifurcation diagram.

14 pointslet x be the seats in the small van and y the seats in the large van. how many seats does the large van have? a company uses two vans to transport worker from a free parking lot to the workplace between 7: 00 and 9: 00a. m. one van has 9 more seats than the other. the smaller van makes two trips every morning while the larger one makes only one trip. the two vans can transport 69 people, maximum. how many seats does the larger van have?

Asailor is looking at a kite. if he is looking at the kite at an angle of elevation of 36and the distance from the boat to the point where the kite is directly overhead is 40 feet, how high is the kite?

Write each of the following numerals in base 10. for base twelve, t and e represent the face values ten and eleven, respectively. 114 base 5 89t base 12