Chapter 6, Problem 54P

a.

To determine

Zeros of a given Butterworth polynomial with $n=1$ .

  $B_n(s)=1+{(-1)}^n{(\frac{s}{{\omega }_c})}^{2n},n>0$

b.

To determine

Zeros of a given Butterworth polynomial with $n=2$ ;

  $B_n(s)=1+{(-1)}^n{(\frac{s}{{\omega }_c})}^{2n},n>0$