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2 6. The inverse Laplace transform of F(s) = is s+c a) 2e-c (t+b) u (t+b) b) 2e-c (t-b) u (t-b) c) 2ec (t-b) u (t-b) d) 2ec (t-b) u (t+b) 7. The Laplace transform of the function e 2t cos(3t) + 5e-2t sin(3t) is a) (s+2) - 15 (s+ 2)² +9 (s + 2) + 15 b) (s+ 2)²-9 (s + 2) + 15 c) (s + 2)² +9 (s+2) - 15 d) (s+ 2)²-9

2 6. The inverse Laplace transform of F(s) = is s+c a) 2e-c (t+b) u (t+b) b) 2e-c (t-b) u (t-b) c) 2ec (t-b) u (t-b) d) 2ec (t-b) u (t+b) 7. The Laplace transform of the function e 2t cos(3t) + 5e-2t sin(3t) is a) (s+2) - 15 (s+ 2)² +9 (s + 2) + 15 b) (s+ 2)²-9 (s + 2) + 15 c) (s + 2)² +9 (s+2) - 15 d) (s+ 2)²-9

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. The Fourier transform of signal e-²¹ u(t-3) is e-3(2-jw) a) 2-jw b) e-3(2+jw) 2 + jw c) e3(2-jw) 2-jw d) e3(2+jw) 2 + jw 2 6. The inverse Laplace transform of F(s) = -bs is s+c a) 2e-c (t+b) u (t+b) b) 2e-c (t-b) u (t-b) c) 2ec (t-b) u (t-b) d) 2ec (t-b) u (t+b) -2t 7. The Laplace transform of the function e cos(3t) + Se-2t (s+2) - 15 a) (s + 2)² +9 (s + 2) + 15 b) (s+ 2)²-9 (s + 2) + 15 (s + 2)² +9 (s+2) - 15 d) (s+ 2)²-9 8. The Laplace transform of the signal x(t)=e¹ sin2t u(-t). 2 a) (s-1)2 +22 b) -2 (S-1)² +2² 2 c) (s + 1)² + 2² -2 d) (s+ 1)² +2² d8(t) 9. The Laplace transform of the signal x(t) = dt a) 1 b) s c) 1/s d) s² e sin(3t) is
Transcribed Image Text:5. The Fourier transform of signal e-²¹ u(t-3) is e-3(2-jw) a) 2-jw b) e-3(2+jw) 2 + jw c) e3(2-jw) 2-jw d) e3(2+jw) 2 + jw 2 6. The inverse Laplace transform of F(s) = -bs is s+c a) 2e-c (t+b) u (t+b) b) 2e-c (t-b) u (t-b) c) 2ec (t-b) u (t-b) d) 2ec (t-b) u (t+b) -2t 7. The Laplace transform of the function e cos(3t) + Se-2t (s+2) - 15 a) (s + 2)² +9 (s + 2) + 15 b) (s+ 2)²-9 (s + 2) + 15 (s + 2)² +9 (s+2) - 15 d) (s+ 2)²-9 8. The Laplace transform of the signal x(t)=e¹ sin2t u(-t). 2 a) (s-1)2 +22 b) -2 (S-1)² +2² 2 c) (s + 1)² + 2² -2 d) (s+ 1)² +2² d8(t) 9. The Laplace transform of the signal x(t) = dt a) 1 b) s c) 1/s d) s² e sin(3t) is
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