Transform Theory - Study Mode
[#36] The bilateral Laplace transform of $${e^{left( {3t + 6}
ight)}}uleft( {t + 3}
ight)$$ xa0 is
Correct Answer
(C) $$frac{{{e^{3left( {s - 1}
ight)}}}}{{s - 3}},,,,,,operatorname{Re} left( s
ight) > 3$$
[#37] The Laplace transform of $$xleft( t
ight)$$ xa0is $$Xleft( s
ight) = frac{{{e^{ - 3s}}left( {2{s^2} + 1}
ight)}}{{sleft( {s + 1}
ight)left( {s + 4}
ight)}}$$ The final value of $$xleft( t
ight)$$ xa0is
Correct Answer
(B) $$frac{1}{4}$$
[#38] The Laplace transform of $$xleft( t
ight)$$ xa0is $$Xleft( s
ight) = frac{{2{s^2} + 3}}{{{s^2} + 5s + 1}}$$ The initial value of $$xleft( t
ight)$$ xa0is
Correct Answer
(A) 0
[#39] The trigonometric Fourier series of an even function does not have the
Correct Answer
(C) sine terms
[#40] The inverse Laplace transform of the function $$frac{{s + 5}}{{left( {s + 1}
ight)left( {s + 3}
ight)}}$$ xa0 is
Correct Answer
(A) $$2{e^{ - t}} - {e^{ - 3t}}$$