BC:7.2 For causal LTI systems with transfer functions listed below, find the zeros and poles and state whether or not each system is stable with a brief justification for why. If the system is stable, find the impulse response for the system.
a.)Ha(z) = z²+0.7z−0.6/z²+1.7z+0.6
b.)Hb(z) = z²+0.5z−0.24/z²+1.7z+0.6
c.)Hc(z) = z²−0.25z−0.125/z²+0.25z−0.125
d.)Hd(z) = 10z+5/z²+0.3√2z+0.09
​e.)He(z) = 1−4.25z−¹+2.875z−²+2.625z−³