The number of roots on the equation $$2{s^4} + {s^3} + 3{s^2} + 5s + 7 = 0$$ that lie in the right half of $$S$$ plane is:

None of the poles of a linear control system lie in the right half of $$s$$-plane. For a bounded input, the output of this system

The output of a linear time invariant control system is $$c(t)$$ for a certain input $$r(t).$$ If $$r(t)$$ is modified by passing it through a block whose transfer function is $${e^{ - s}}$$ and then applied to the system, the modified output of the system would be

For block diagram shown in Figure $$C(s)/R(s)$$ is given by