$2.[15$ marks$]$ A frequency modulated signal with carrier frequency $=10$ is given by $()=10$ cos$[2+10$ sin $2000].$ a$)$ Calculate the power of the modulated signal. $(3$ marks$)$ b$)$ Find the modulation index $.(4$ marks$)$ c$)$ Find the maximum frequency deviation $.(4$ marks$)$ d$)$ Estimate the bandwidth of the FM signal. $(4$ marks$)$