A message signal m$($t$)$ has a bandwidth of $10$ kHz and a peak magnitude of $1$ V$.$

Estimate the bandwidth of the modulated signal u$($t$)$ obtained, when m$($t$)$ frequency

modulates a carrier at frequency, and amplitude, Ac $=100$ V$,$ with a

peak frequency deviation of $($a$)10$ Hz $/$ V$,($b$)100$ Hz $/$ V$,$ and $($c$)1000$ Hz $/$ V$.$

Draw the spectrum of the modulated signal u$($t$)$ in case A$.$