In each of Problem 9 through 24, use the linearity of L-1, partial fraction expression, and Table 5.3.1 to find the inverse Laplace transform of the given function:Please be handwritten f(t) = L-¹{F(s)}1eat1.2.3. t", n = positive integer4. t,p>-15.sin at6.cos at7.sinh at8.cosh at9.et sin bt10. eat cos bt11. teat, n= positive integer12. uc (t)13. uc(t)f(t-c)14. ect f(t)15. Söf(t−7)g(7) dr16. (t-c)17. f(n) (t)18. tf(t)F(s) = L{f(t)}},s>08-07n!8+1)r(p+1)s> 0a8²+², 8>0s > as> 0SD+1 "$²+²8>0a$²², 8> |a|5²³², 8> |a|b(s-a)² +6² 3S-a(s-a)² +6²n!(s-a)*+1)e-CS3e-cs F(s)F(sc)F(s)G(s)s > a8 > as > as>0sF(s) s-1 f(0) -(-1) f(n) (s)- f(n-1) (0) 28+115-2-2s+2

Answered: Image /qna-images/answer/5855276b-ea95-40a2-8383-d32d89ed1b01.jpg

Answered: 28+1 15-2-2s+2

Math

Advanced Math

28+1 15-2-2s+2

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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Question

In each of Problem 9 through 24, use the linearity of L^-1, partial fraction expression, and Table 5.3.1 to find the inverse Laplace transform of the given function:

Please be handwritten

f(t) = L-¹{F(s)}
1
eat
1.
2.
3. t", n = positive integer
4. t,p>-1
5.
sin at
6.
cos at
7.
sinh at
8.
cosh at
9.
et sin bt
10. eat cos bt
11. teat, n= positive integer
12. uc (t)
13. uc(t)f(t-c)
14. ect f(t)
15. Söf(t−7)g(7) dr
16. (t-c)
17. f(n) (t)
18. tf(t)
F(s) = L{f(t)}
},s>0
8-07
n!
8+1)
r(p+1)
s> 0
a
8²+², 8>0
s > a
s> 0
SD+1 "
$²+²8>0
a
$²², 8> |a|
5²³², 8> |a|
b
(s-a)² +6² 3
S-a
(s-a)² +6²
n!
(s-a)*+1)
e
-CS
3
e-cs F(s)
F(sc)
F(s)G(s)
s > a
8 > a
s > a
s>0
sF(s) s-1 f(0) -
(-1) f(n) (s)
- f(n-1) (0)

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