Question

For the function F (s) = (s^2+s+1)/s(s+5)(s+3), after splitting this function into partial fractions, the co-efficient of the term 1/s is? (a) 1/5 (b) 1/10 (c) 1/15 (d) 1/20 This question was posed to me in an interview for internship. This intriguing question comes from Inverse Transforms topic in division Intoduction to the Laplace Transform of Network Theory Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

Answer 1

Correct answer is (c) 1/15 For explanation: To obtain the constant A, multiply the given equation with (s) and putting s = 0. The co-efficient of the term 1/s is A = sF (s)|s=0 = (s^2+s+1)/(s+5)(s+3)|s=0 =1/15.