Consider the case, where in abence of predator, the prey follow a logistic growth, i) find the "predator-free" equilibria of the system (11) and study their stability. i) let ro. ii) study the stability of equilibria with respect to ro bk show that an interior equilibrium exists iff ro > 1

Wo small variable-thrust jets are actuated to keep the spacecraft angular velocity about the z-axis constant at ? 0 = 1.16 rad/s as the two telescoping booms are extended from r1 = 1.18 m to r2 = 4.69 m at a constant rate over a period of 124 seconds. the small 19-kg experiment modules at the ends of the booms may be treated as particles, and the mass of the rigid booms is negligible. determine the necessary thrust t for each jet as a function of time where t = 0 is the time when the telescoping action is begun. after you have the general expression for t, answer the questions. show work.