Question

Find the Laplace transform of the function f (t) = tsin2t. (a) 4s/(s^2+4)^2 (b) -4s/(s^2+4)^2 (c) -4s/(s^2-4)^2 (d) 4s/(s^2-4)^2 The question was asked during an online interview. Question is from Operational Transforms 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

Right option is (a) 4s/(s^2+4)^2 Explanation: The Laplace transform of the function of sin2t is L(sin2t)=2/(s^2+4). So the Laplace transform of the function f (t) = tsin2t is L(tsin2t) = -d/ds [2/(s^2+4)] = 4s/(s^2+4)^2.