Question

The Laplace transform of the function e^-2tcos(3t) + 5e^-2tsin(3t) is ____________ (a) \frac{(s+2)-15}{(s+2)^2-9} (b) \frac{(s+2)+15}{(s+2)^2-9} (c) \frac{(s+2)+15}{(s+2)^2+9} (d) \frac{(s+2)-15}{(s+2)^2+9} The question was asked during an online interview. Asked question is from Laplace Transform of a Periodic Function topic in section Application of the Laplace Transform in Circuit Analysis 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 option is (c) \frac{(s+2)+15}{(s+2)^2+9} For explanation I would say: L {e^-2tcos(3t) + 5e^-2tsin(3t)} = \frac{(s+2)}{(s+2)^2+9} + \frac{5 3}{(s+2)^2+9} = \frac{(s+2)+15}{(s+2)^2+9} .