Process Control and Instrumentation
The Laplace transform of exp(at), where a > 0, is defined only for the Laplace parameter, s > a since

The Laplace transform integral of exp(at) has initial values only for s > a
The function exp(at) is piece-wise continuous only for s > a
The function is exponential
The Laplace transform of integral of exp(at) has finite values only for s > a

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Process Control and Instrumentation
In a second order under damped system, the

Time required for the response of first reach its ultimate value is called the response time
Decay ratio (which is the ratio of the sizes of successive peaks) is equal to the reciprocal of overshoot
None of these
Overshoot (which is a measure of how much the response exceeds the ultimate value) increase with the decrease of damping co-efficient e

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