The Dirac-delta function (δ(t - t0)) for t, t0 ∈ R, has the following property \(\displaystyle\int_a^b \phi (t) δ (t - t_0) dt = \left\lbrace \begin{matrix} \phi (t_0) & a < t_0 < b \\\ 0 & \text{otherwise} \end{matrix}\right.\)The Laplace transform of the Dirac-delta function δ(t - a) for a > 0; \({\cal{L}}(\delta (t - a)) = F(s) \) is

• A. esa
• B. e-sa
• C. ∞
• D. 0