(a) The output response depends on present and past inputs. Hence, it is dynamic.
(b) The output does not depend on the future input. Hence, it is causal.
(c) The output due to the delayed input is same as the delayed output. Hence, the system is time invariant.
(d) The weighted sum of the output is the same as output due to the weighted sum of the input. Hence, it is linear.
(e) As long as the input \(x(t)\) is bounded, \(x(t-5)\) is also bounded. Hence, \(y(t)\) is bounded. The system is stable.

\[
y(t)=x(t)+10 x(t-5) \quad t \geq 0
\]