HW5 Prob 2 Value Check

Hey everyone, just wanted to do a value check on HW5 prob2:
b) when I compute the steady state V expression @ fso= 110k, I get Vout = 23.9-j48.2
I'll skip small signal since it can't be evaluated without 's' as well as 2c's expression
d) I get Genv(0) = 27.5 this seems wrong to me.

For part d I did the following:
Genv(s) = v_hat / d_hat (Kpwm term multiplies into this but doesn't change the value)
v_hat = ((V* x v_hat) + (V x v_hat*)) / (2 x ||V||)

Last question, the 's' in the small signal voltage AM expression 's+jwso' (part b of this problem) is the update rate of the duty-cycle modulation correct?