Determine whether or not each of the following statements about LTI systems is true. If...

Determine whether or not each of the following statements about LTI systems is true. If a statement is true, construct a convincing argument for it. If it is false, give a counterexample.

(a) A stable continuous-time system must have all its poles in the left half of the s-plane [i.e., ]. .

(b) If a system function has more poles than zeros, and the system is causal, the step response will be continuous at t = 0.

(c) If a system function has more poles than zeros, and the system is not restricted to be causal, the step response can be discontinuous at t = 0.

(d) A stable; causal system must have all its poles and zeros in the left half of the s-plane.