CT LTI system:
y(t) = 10x(t-1)
plugging in delta(t) into the system we get:
h(t) = 10delta(t-1)
$ H(s) = \int_{-\infty}^{\infty} h(t) $
$ H(s) = \int_{-\infty}^{\infty} 10delta(t-1) $
