Consider two transfer functions $$ \mathrm{G}_1(s)=\frac{1}{s^2+a s+b} \text { and } \mathrm{G}_2(s)=\frac{s}{s^2+a s+b} $$ The $3\text{-dB}$ bandwidths of their frequency responses are, respectively
- $\sqrt{a^2-4 b}, \sqrt{a^2+4 b}$
- $\sqrt{a^2+4 b}, \sqrt{a^2-4 b}$
- $\sqrt{a^2-4 b}, \sqrt{a^2-4 b}$
- $\sqrt{a^2+4 b}, \sqrt{a^2+4 b}$