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Consider the function f(t) = { sin(t sin(t47) if 0 < t < 4T if 4T ≤t. 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. (formulas) f(t) = help (formulas) b. Find the Laplace transform F(s) = L{f(t)}. F(s) = L{f(t)} = help

Consider the function f(t) = { sin(t sin(t47) if 0 < t < 4T if 4T ≤t. 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. (formulas) f(t) = help (formulas) b. Find the Laplace transform F(s) = L{f(t)}. F(s) = L{f(t)} = help

Advanced Engineering Mathematics
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 f(t) {sin(t- (sin(t47) if 0 < t < 4T if 4π ≤ t. 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. (formulas) f(t) = help (formulas) b. Find the Laplace transform F(s) = L{f(t)}. F(s) = L{f(t)} help
Transcribed Image Text:Consider the function f(t) {sin(t- (sin(t47) if 0 < t < 4T if 4π ≤ t. 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. (formulas) f(t) = help (formulas) b. Find the Laplace transform F(s) = L{f(t)}. F(s) = L{f(t)} help
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