In the system shown below, the generator was initially supplying power to the grid. A temporary LLLG bolted fault occurs at F very close to circuit breaker-1. The circuit breakers open to isolate the line. The fault self-clears. The circuit breakers reclose and restore the line. Which one of the following diagrams best indicates the rotor accelerating and decelerating areas?

Consider a discrete-time linear time-invariant (LTI) system, $\boldsymbol{S}$, where
$$ y[n]=S\{x(\mathrm{n})\} $$
$$Let\,\,\,\, S\{\delta[n]\}=\left\{\begin{array}{lc} 1, & n \in\{0,1,2\} \\ 0, & \text { otherwise } \end{array}\right. $$
where $\delta[n]$ is the discrete-time unit impulse function. For an input signal $x[n]$, the output $y[n]$ is
Consider a continuous-time signal
$$ x(t)=-t^2\{u(t+4)-u(t-4)\} $$
where $u(t)$ is the continuous-time unit step function. Let $\delta(t)$ be the continuous-time unit impulse function. The value of
$$ \int_{-\infty}^{\infty} x(t) \delta(t+3) d t $$
is