Problem #2: Let f(t) = 9t 0 ≤ ≤ 2π sin(3t) 2 t≤ 4 8(1-4) > 4π (a) f(t) can be written in the form 81(t) + g₂(1)U(t-2л) + gз(1) U(1-4) where U(t) is the Heaviside function. Enter the functions g₁(t), g2(t), and g3(1), into the answer box bel that order), separated with commas. (b) Compute the Laplace transform of f(t).

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Problem #2: Let
f(t) =
9t
0 ≤ ≤ 2π
sin(3t) 2
t≤ 4
8(1-4) > 4π
(a) f(t) can be written in the form
81(t) + g₂(1)U(t-2л) + gз(1) U(1-4)
where U(t) is the Heaviside function. Enter the functions g₁(t), g2(t), and g3(1), into the answer box bel
that order), separated with commas.
(b) Compute the Laplace transform of f(t).
Transcribed Image Text:Problem #2: Let f(t) = 9t 0 ≤ ≤ 2π sin(3t) 2 t≤ 4 8(1-4) > 4π (a) f(t) can be written in the form 81(t) + g₂(1)U(t-2л) + gз(1) U(1-4) where U(t) is the Heaviside function. Enter the functions g₁(t), g2(t), and g3(1), into the answer box bel that order), separated with commas. (b) Compute the Laplace transform of f(t).
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