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Find the inverse Laplace transform of \[ F(s)=\frac{4 e^{-7 s}}{s^{2}+64} \] \[ f(t)= \] (Notation: write \( \mathbf{u}(\mathbf{t}-\mathrm{c}) \) for the Heaviside step function \( u_{c}(t) \) with step at \( t=c \).)

Given that, F(s)=4e?7ss2+64 Apply inverse laplace transform. if L?1{F(s)