1. Identify the impulse response h(t) associated with each of the following system gain functions. \begin{align*} (a) \quad H(s) &= \frac{2s+7}{s^2 + 6s + 8} \\ (b) \quad H(s) &= \frac{10}{s^2 + s - 6} \\ (c) \quad H(s) &= \frac{-11s - 35}{s^3 + 8s^2 + 19s + 12} = \frac{-11s - 35}{(s+1)(s+3)(s+4)} \\ (d) \quad H(s) &= \frac{3s + 2}{s + 7} \end{align*}
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