Assume the input is
$x(t) = 9 + 4 \cos(350\pi t - 0.6\pi) + 3 \cos(1150\pi t - 0.6\pi)$
(a) Without aliasing, find a range of values for $f_s$ so that $y(t) = 0$.
(b) Without aliasing, find a range of values for $f_s$ so that $y(t) = A \cos(1150\pi t + \phi)$.
(c) The impulse response of this system can be written as:
$h[n] = \alpha \delta[n] - \beta \frac{\sin(\omega_1 n)}{\pi n} - \gamma \frac{\sin(\omega_2 n)}{\pi n}$
Find numeric values for the constants $\alpha$, $\beta$, $\gamma$, $\omega_1$ and $\omega_2$.
