1. Explain the purpose of the following systems:

a) control system

b) instrumentation system

c) communication system.

2. Given a system having input *x*(t) and output *y*(t) which are related by the following differential equation:

a) define the operational transfer function for this system *H*(*s*)

b) find *H*(*s*).

3. Find the poles and zeros for the system of Problem 2.

4. The input to a system *x*(*t*) is a unit step:

Show that the Laplace transform *x*(*s*) for this input is given by:

5. Find the unit response for the system of Problem ...

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