The part cut out says they recruit more for their team at the rate:

Question 6. The Punishers have invaded campus! They recruit more for the team at the rate: dz dt =f(z) =3(1 - 22) In(), where t is time and z is the number of punishers. Justify your answers! SHOW ALL WORK. a) Determine all biologically meaningful steady states (equilibrium points). b ) Determine the stability of each steady state in (a), using the derivative test. c) Draw the phase-line diagram. d) If 491 punishers are on campus initially, how many will there be eventually? Solution