Question

For the function F (s) = (s^2+s+1)/s(s+5)(s+3), after splitting this function into partial fractions. Find the partial fraction expansion of the function. (a) 1/15s-2.1/(s+5)+1.17/(s+3) (b) 1/15s-2.1/(s+5)-1.17/(s+3) (c) 1/15s+2.1/(s+5)+1.17/(s+3) (d) 1/15s+2.1/(s+5)-1.17/(s+3) The question was posed to me in class test. I would like to ask this question from Inverse Transforms topic in section 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 (d) 1/15s+2.1/(s+5)-1.17/(s+3) To explain I would say: The values of A, B,C are A = 1/15, B = 2.1, C = -1.17. Partial fraction expansion of the function is (s^2+s+1)/s(s+5)(s+3) =1/15s+2.1/(s+5)-1.17/(s+3).