Question's statement

Express each of the following complex numbers in

Cartesian form $(x+jy)$:$(3+3+3+3)$

a$)\frac{1}{2}{e}^j,$

b$)\frac{1}{2}{e}^{-j},$

c$)e^{\frac{j}{2}},$

d$)e^{\frac{-j}{2}},$

Express each of the following complex numbers in polar

form $r{e}^j,$ with :$(2+2+2+3)$

a$)5,$

b$)-2,$

c$)-3j,$

d$)\frac{1}{2}-j\frac{\sqrt[\phantom{2}]{3}}{2}$

Determine the values of $P_{}$ and $E_{}$ for each of the

following signals:

a$)x_1(t)=e^{-2t}u(t),$

b$)x_2(t)=e^{j(2t+\frac{}{4})},$

c$)x_3(t)=cos(t),$