A plot of a sinusoidal signal $y(t)=DC+$Acos$({}_{0}t+)$ is shown.

a$)$ Determine the values of signal parameters DC$,A,{}_0$ and and their corresponding units wherever applicable.

b$)$ Determine the complex amplitude $x$ for complex sinusoid $z(t)=DC+x{e}^{j{}_{0}t}$ such that the signal $y(t)=Re\{z(t)\}.$

c$)$ Write a Matlab code and plot the shifted & scaled signal $s(t)=1\mathrm{.}5y(t+)$ where $=-40$ nano seconds. Properly label $x$ axis and $Y$ axis on your plot.

d$)$ Is $s(t)$ advanced or delayed version of the original signal $y(t)?$ Why?