$[20$ points$]$ Consider a periodic signal, $x(t),$ with fundamental frequency of ${}_0=2$ radians$/$second and the Fourier series coefficients are given by $c_0=6,c_1=c_{-1}=3.$

a$.[5$ points$]$ What is $x(t)?($Provide a mathematical expression$).$

b$.[5$ points$]$ Accurately draw$/$sketch the signal $x(t)$ versus time $($i$.$e$.,$ hand drawing$).$

c$.[5$ points$]$ What is the Fourier transform of this signal, denoted $x()?($Provide a mathematical expression$).$

d$.[5$ points$]$ Draw$/$sketch $x()$ for this signal versus frequency? $($i$.$e$.,$ hand drawing$).$

Make sure it is correct i need it soon