Given the forward$-$path transfer function of the unity$-$feedback systems:

G$($s$)=[$K$(2$s$+1)(5$s$+1)]/[$s$^2($s$^2+2$s$+6)]$

$($a$)$Determine the type of the system.

$($b$)$Find the position error constant $($step$-$error constant$),$velocity error constant $($ramp$-$error constant$),$and acceleration error constant $($parabolic$-$error constant$).$

$($c$)$Find the steady$-$state errors for a unit$-$step input, a unit$-$ramp input,and a unit$-$parabolic input.