The graph of f(t) is given below: 1.0 (Click on graph to enlarge) a. Represent f(t) using a combination of Heaviside step functions. Use h(t - a) for the Heaviside function shifted a units horizontally. f(t) = b. Find the Laplace transform F(s) = L{f(t)} for s = 0. F(s) = L{f(t)} = help (formulas) help (formulas)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 36E
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The graph of f(t) is given below:
F1
(Click on graph to enlarge)
a. Represent f(t) using a combination of Heaviside step functions. Use h(t a) for the Heaviside function shifted a units
horizontally.
f(t) =
b. Find the Laplace transform F(s) = L{f(t)} for s ‡ 0.
F(s) = L{f(t)} =
help (formulas)
help (formulas)
Transcribed Image Text:The graph of f(t) is given below: F1 (Click on graph to enlarge) a. Represent f(t) using a combination of Heaviside step functions. Use h(t a) for the Heaviside function shifted a units horizontally. f(t) = b. Find the Laplace transform F(s) = L{f(t)} for s ‡ 0. F(s) = L{f(t)} = help (formulas) help (formulas)
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