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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F354d45b0-69b0-495b-9dd7-9e59dcbd1053%2Fb1d827fa-c1ef-4227-86b5-4c25674aaa5b%2Fbrjr4ks_processed.jpeg&w=3840&q=75)
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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