Let f(t) = 8t 0 ≤ t≤ 2π sin(6t) 2π < t ≤ 4л t > 4π (a) f(t) can be written in the form 81(t) + g2(t)U(t − 2л) + gз(t)U(t − 4л) where U(t) is the Heaviside function. Enter the functions g₁(t), g2(t), and 83(t), into the answer box below (in that order), separated with commas. (b) Compute the Laplace transform of ƒ (t).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 43E
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Let
f(t)
=
8t
0 ≤ t≤ 2π
sin(6t)
2π < t ≤ 4л
t > 4π
(a) f(t) can be written in the form
81(t) + g2(t)U(t − 2л) + gз(t)U(t − 4л)
where U(t) is the Heaviside function. Enter the functions g₁(t), g2(t), and 83(t), into the answer box below (in
that order), separated with commas.
(b) Compute the Laplace transform of ƒ (t).
Transcribed Image Text:Let f(t) = 8t 0 ≤ t≤ 2π sin(6t) 2π < t ≤ 4л t > 4π (a) f(t) can be written in the form 81(t) + g2(t)U(t − 2л) + gз(t)U(t − 4л) where U(t) is the Heaviside function. Enter the functions g₁(t), g2(t), and 83(t), into the answer box below (in that order), separated with commas. (b) Compute the Laplace transform of ƒ (t).
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