935 A certain transform F s =Ks + s + has a simple pole

9–35 A certain transform F s ð Þ=Ks + γ

s + α has a simple pole at s = −50, a simple zero at s = −γ, and a scale factor of K = 1.

Select values for γ so that the inverse transform is

(a) f ðtÞ = δðtÞ − 5e−50t

(b) f ðtÞ = δðtÞ

(c) f ðtÞ = δðtÞ + 5e−50t