A feedback control system is shown in the figure.
The maximum allowable value of \( n \) such that the output \( y(t) \), due to any step disturbance signal \( d(t) \), becomes zero at steady-state, is ________ (in integer).
The plant in the feedback control system shown in the figure is \( P(s) = \frac{a}{s^2 - b^2} \), where \( a > 0 \) and \( b > 0 \). The type(s) of controller \( C(s) \) that CANNOT stabilize the plant is/are
The surface integral \( \int_S x^2 \, dS \) over the upper hemisphere
\[ z = \sqrt{1 - x^2 - y^2} \]
with radius 1 is ..........