how

Problem $7$: The following function provides a simple hump or dip in the magnitude function and is sometimes used to equalize the gain in the neighborhood of a certain frequency. Give a plot of $|H(j)|$ for $($a$)a=0\mathrm{.}24$ and $(b)a=0\mathrm{.}16$

$H(s)=\frac{s^2+as+1}{s^2+0\mathrm{.}2s+1}$

Problem $8$: Obtain the phase and the group delay functions of the following transfer function. Give a plot of the group delay function in the range

$H(s)=\frac{s^2-2s+4}{s^2+2s+4}$