Consider the signal

$x(t)=e^{(1+2j)t}u(t)$

$($a$)$ Write an expression for the magnitude of the signal $|x(t)|$ as a piece$-$wise function of $t$

Solution:

$($b$)$ Write an expression for the phase of the signal $\frac{?}{{?}_x(t)}$ as a piece$-$wise function of $t$

Solution:

$($c$)$ Using Matlab, Python, etc. plot the real part and the imaginary part of the signal for tin$[-2,2].$ Include your code.

Solution: