A) Express the signal with only u(t) and r(t) signals.

لحل السؤال الأول:

a) Express the signal with only $u(t)$ and $r(t)$ signals.

The signal $x(t)$ can be expressed by analyzing its slope changes:

1. From $t=-1$ to $t=0$: The signal increases from 0 to 1. The slope is $\frac{1-0}{0-(-1)} = 1$. This can be represented by a ramp function $r(t+1)$.
2. From $t=0$ to $t=1$: The signal is constant at 1. To change the slope from 1 to 0 at $t=0$, we add a negative ramp of slope 1, i.e., $-