Question $1[$Total Marks: $40]$ Let x$($t$)=$ t$,0$ t $12$ t$,1$ t $2$ be a periodic signal with fundamental period T $=2$ and Fourier series coefficients ak$.$ a$)$ Determine the value of a$0.$ b$)$ Determine the Fourier series coefficients of dx$($t$)/$dt $($i$.$e$.$ bk $).$