The graph of f(t) is given below: (Click on graph to enlarge) a. Represent f(t) using a combination of Heaviside step functions. Use h(ta) for the Heaviside function shifted a units horizontally. f(t) = help (formulas) b. Find the Laplace transform F(s) = L{f(t)} for s + 0. F(s) = L{f(t)} help (formulas)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
The graph of f(t) is given below:
D
720
WA
(Click on graph to enlarge)
a. Represent f(t) using a combination of Heaviside step functions. Use h(ta) for the Heaviside function shifted a units horizontally.
f(t) =
help (formulas)
b. Find the Laplace transform F(s) = L{f(t)} for s 0.
=
F(s) = L{f(t)}
help (formulas)
|
18
Transcribed Image Text:The graph of f(t) is given below: D 720 WA (Click on graph to enlarge) a. Represent f(t) using a combination of Heaviside step functions. Use h(ta) for the Heaviside function shifted a units horizontally. f(t) = help (formulas) b. Find the Laplace transform F(s) = L{f(t)} for s 0. = F(s) = L{f(t)} help (formulas) | 18
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unction shifted a units horizonta
help (formulas)
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1.8
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Transcribed Image Text:Q Q X elow: 16 # # # HORAR B # I # # MARE I # # 7 1 # # # I E 1 # # 7 # # I 1 1 # 크 HARE # 1 # # # # B 1 # # # E # # # 1 #1 # 7 # # Ë # 7 # # # # E I I # # # # I # # # 2000 # # # I # # # # # 1 1 # # # # # # E # # # # # unction shifted a units horizonta help (formulas) S) 1.8 a combil form F( -1 -1 16
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