Topic: Engineering Mathematics
If f(t) = e^(at), its Laplace Transform (for s > a) is given by
- A. a/(s-a)²
- B. √π / 2(s-a)
- C. 1/(s-a)
- D. Does not exist
Answer: C. 1/(s-a)
Explanation: The Laplace transform of e^(at) is defined as the integral from 0 to infinity of e^(at) * e^(-st) dt, which evaluates to 1/(s-a).