1. For a unity feedback control system shown in Figure. 1, evaluate the following:
$R(s)$ +
$E(s)$
$\frac{500(s + 2)(s + 5)}{(s+8)(s+10)(s+12)}$
Figure. 1
$C(s)$
a) System type.
b) Position error constant.
c) Velocity error constant.
d) Acceleration error constant.
e) The expected steady state error for the standard step, ramp, and parabolic inputs.