text{Find the Laplace transform } F(s)=Lleft{f(t)right} text{of the function } f(t)=6+sin(3t) text{defined on the interval } tgeq0

remolatg 2021-02-16 Answered
Find the Laplace transform  F(s)=L{f(t)} of the function  f(t)=6+sin(3t) defined on the interval  t0
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Expert Answer

Laaibah Pitt
Answered 2021-02-17 Author has 98 answers
Step 1
From the given statement, the function is  f(t)=6+sin(3t)
Step 2
To find the Laplace transform of the function as follows.
Known fact: 
Thus, the Laplace transform of the function is 6s2+3s+54s3+9s
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Part II
29.[Poles] (a) For each of the pole diagrams below:
(i) Describe common features of all functions f(t) whose Laplace transforms have the given pole diagram.
(ii) Write down two examples of such f(t) and F(s).
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(ii) Sketch the pole diagram of the system.
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