Punishers have invaded my library found in Galaxy Zamfir! They recruit more of the undead at the rate:

where t is time and z is the number of punishers. Show all work for:
a) Determine all biologically meaningful steady states (equilibrium points).
b) Determine the stability of each Equilibrium point in Part a), using the derivative test. c) Draw a phase-line diagram.
d) If 895 punishers are in the library initially, how many will there be eventually?