An active network is described by the characteristic equation
s^2+(3+6K1)s+6K2=0
It is required that the network be stable and that no component of its response decay more rapidly than K1e^-3t. Show that these conditions are satisfied if K2>0, |K1|<1/2, and K2>3K1. Crosshatch the area of permitted values of K1 and K2 in the K1-K2 plane.