A baseband signal $\mathrm{m}(\mathrm{t})$ modulates a carrier to produce the angle modulated signal, $\text{Ac} \cos \left[2 \pi \times 10^{8} t+k_{p} \; m(t)\right]$, where $m(t)$ is shown in the figure is Determine the value of $k_{p}$ so that the peak-to-peak frequency deviation of the carrier is $100 \; \mathrm{kHz}$.
