(7) Can you translate this into words? Please explain the solution in detail because I'm going to make a script out of it. o lulion 7laplace tuna fanm ofG(4) =1IfL[ fle)] =F(S)thindon [FIS)]a tve intgIfL[ fld)] = FIS)FIS)95L{ u(t-a) }%3Du (t-a)unit 6 tep funedinisanPage Breakfie have,frt)[ F(S)]Cod tCthereF(S) = L( Cos £ }ands'+ 1Li Cod at ) Li t Cod t } = (-tỷ ddsSP[1 - s?ds(s+ 13° (-R8) - (1-s³) a (s+1) (2 s)(s4 1) T(s'41) [ -2s (s%v - 1S ( 1-s°)](s 1)+-Rs - R5 - †S + +s³%3DF(S)Hence ,F(S)

Answered: Image /qna-images/answer/d470c526-26ed-4248-968d-f4a26d992989.jpg

O Lulion laflace Luma fanm of LiS Con t dt G(4) = If L[fla)] = F(S) thin L[ fl4] = (1," " a (tive intig in in () If L[ fA)] = FIS) thin L{u(t-a) } = () u (t-a) unit 6 tab funete in an Page Break fie have , (-1)° d? F(S) = L(Cos & } and %3D Li Cud at ) :- a Li Cos £ } = (-1

O Lulion laflace Luma fanm of LiS Con t dt G(4) = If L[fla)] = F(S) thin L[ fl4] = (1," " a (tive intig in in () If L[ fA)] = FIS) thin L{u(t-a) } = () u (t-a) unit 6 tab funete in an Page Break fie have , (-1)° d? F(S) = L(Cos & } and %3D Li Cud at ) :- a Li Cos £ } = (-1

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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Question

(7) Can you translate this into words? Please explain the solution in detail because I'm going to make a script out of it.

o lulion 7
laplace tuna fanm of
G(4) =
1
If
L[ fle)] =
F(S)
thin
don [FIS)]
a tve intg
If
L[ fld)] = FIS)
FIS)
95
L{ u(t-a) }
%3D
u (t-a)
unit 6 tep funedin
is
an
Page Break
fie have,
frt)
[ F(S)]
Cod t
Cthere
F(S) = L( Cos £ }
and
s'+ 1
Li Cod at )

Li t Cod t } = (-tỷ d
ds
SP
[
1 - s?
ds
(s+ 13° (-R8) - (1-s³) a (s+1) (2 s)
(s4 1) T
(s'41) [ -2s (s%v - 1S ( 1-s°)]
(s 1)+
-Rs - R5 - †S + +s³
%3D
F(S)
Hence ,
F(S)

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