Consider the function Jo (sin(t-8n) a. Use the graph of this function to write it in terms of the Heaviside function. Use h(t-a) for the Heaviside function shifted a units horizontally. f(t) = b. Find the Laplace transform F(s) = L{f(t)}. F(s) = L{f(t)} = f(t)= if 0 < t < 8T if 8m ≤ t. help (formulas) 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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Consider the function
if 0 < t < 8T
if 8π <t.
f(t) = {sin(t - 8
a. Use the graph of this function to write it in terms of the Heaviside function. Use h(ta) for the Heaviside function shifted a units
horizontally.
f(t) =
b. Find the Laplace transform F(s) = L{f(t)}.
F(s) L{f(t)} =
help (formulas)
help (formulas)
Transcribed Image Text:Consider the function if 0 < t < 8T if 8π <t. f(t) = {sin(t - 8 a. Use the graph of this function to write it in terms of the Heaviside function. Use h(ta) for the Heaviside function shifted a units horizontally. f(t) = b. Find the Laplace transform F(s) = L{f(t)}. F(s) L{f(t)} = help (formulas) help (formulas)
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