For items 12-20, find the Laplace transform f(s) of the given function F(t). 12. F(t) = cos*t - sin't A. В. C. D. 13. F(t) = 8 sin D.32 16s+1 128s 64s A 16s+1 В. 8s+1 16s C. 8s+1 14. F(t) = t*e2t 24 A (s-2)5 24 В. (s+2)5 24 24 C. (s+2) D. s(s-2)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
need answer asap, please try to answer everything i promised to give you a good rsting
For items 12-20, find the Laplace transformf(s) of the given function F(t).
12. F(t) = cos*t – sin't
A.
В.
C.
D.
s+4
13. F(t) = 8 sin
128s
64s
16s
32
A
16s+1
В.
8s+1
D.
16s+1
8s+1
14. F(t) = t*e2t
24
A
(s-2)5
24
В.
(s+2)5
24
24
C.
s(s+2)
D.
s(s-2)
15. F(t) = 3et -e-2t
%3D
10s-2
A.
s-2s-8
2s-10
В.
s+2s-8
2s+10
10s+2
D.
s3+2s-8
si-2s-8
16. F(t) = (t? - 2)3
720
A
120
C.
720
В.
144
24
720
124
D.-
17. F(t) = 8 sin? - cos²
A
s+1
B. s
D.
s-(s+1)
s(s+1)
s2(s+4)
18. F(t) = e2"cos7t
s-2
s+2
7
A.
(s-2)2+49
В.
(s+2)+49
С.
(s-2)2+49
D.
(s+2)3 +49
19. F(t) = 5 sint + 10 cost
10s-5
A.
s+1
10s+5
В.
s+1
5s+ 10
C.
s+1
5s-10
D.
s+1
20. F(t) = (t – 4)3u(t – 4) – 2 u(t – 4)
2e5+6se45
A
6es-2se-ss
В.
-6e
2e
St-
D.
+
Transcribed Image Text:For items 12-20, find the Laplace transformf(s) of the given function F(t). 12. F(t) = cos*t – sin't A. В. C. D. s+4 13. F(t) = 8 sin 128s 64s 16s 32 A 16s+1 В. 8s+1 D. 16s+1 8s+1 14. F(t) = t*e2t 24 A (s-2)5 24 В. (s+2)5 24 24 C. s(s+2) D. s(s-2) 15. F(t) = 3et -e-2t %3D 10s-2 A. s-2s-8 2s-10 В. s+2s-8 2s+10 10s+2 D. s3+2s-8 si-2s-8 16. F(t) = (t? - 2)3 720 A 120 C. 720 В. 144 24 720 124 D.- 17. F(t) = 8 sin? - cos² A s+1 B. s D. s-(s+1) s(s+1) s2(s+4) 18. F(t) = e2"cos7t s-2 s+2 7 A. (s-2)2+49 В. (s+2)+49 С. (s-2)2+49 D. (s+2)3 +49 19. F(t) = 5 sint + 10 cost 10s-5 A. s+1 10s+5 В. s+1 5s+ 10 C. s+1 5s-10 D. s+1 20. F(t) = (t – 4)3u(t – 4) – 2 u(t – 4) 2e5+6se45 A 6es-2se-ss В. -6e 2e St- D. +
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,