What is the Laplace transformation of 7d(t-1)?

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bmn123

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hi there

Could someone maybe help me with the following question please

What is the Laplace transformation of 7d(t-1)?
d(x) represents the impulse function.


a. 7es
b. 7e-s
c. 1
d. 7
e. e-7s
f. Nie een van hierdie antwoorde / None of these answers
g. e7s

I thought i should be b) but i'm not shure
 

Re: impuls function

The answer is b.

First, the 7 out front stays out front because it is a constant.

Second, a time shift (t-a) comes out as exp(-a*s). Since a=1 here, this is exp(-s).

The overall answer is 7*exp(-s).

-Tip
 

Re: impuls function

yes the answer is surely (b)
 

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