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If f(t)=f1(t)+f2(t), the laplace transform of f(t) exists if f1(t) and f2(t) does not have the same R.O.C.(a) True(b) FalseI had been asked this question in an interview for internship.This intriguing question comes from Laplace Transform in portion Control System Applications of MATLAB

Answer»

Right CHOICE is (b) False

The best explanation: If the functions f1(t) and f2(t) do not have the same R.O.C., the LAPLACE transform of f(t) won’t EXIST. This is because f(t) is a RESULT of addition of both the function and if one of them doesn’t exist, the ENTIRE function would collapse.



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