Express the function below using window and step functions and compute its Laplace transform. 0, 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 44E
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Express the function below using window and step functions and compute its Laplace transform.
0, 0<t<1
1, 1<t<3
9g(t) =
6, 3<t<5
4,
5<t
Click here to view the table of Laplace transforms.
Click here to view the table of properties of Laplace transforms.
Express g(t) using window and step functions. Choose the correct answer below.
A. 9(t) = 11,3(1) + 61l,5 (t) – 4u(t – 5)
O B. g(t) = u(t - 1) + 6u(t – 3) + 4u(t – 5)
c. 9(t) = 1,3 (1) + 6113,5(t) + 4110,5 (t)
D. 9(t) = I1,3(t) + 6I13,5(t) + 4u(t – 5)
Compute the Laplace transform of g(t).
(Type an expression using s as the variable.)
Transcribed Image Text:Express the function below using window and step functions and compute its Laplace transform. 0, 0<t<1 1, 1<t<3 9g(t) = 6, 3<t<5 4, 5<t Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Express g(t) using window and step functions. Choose the correct answer below. A. 9(t) = 11,3(1) + 61l,5 (t) – 4u(t – 5) O B. g(t) = u(t - 1) + 6u(t – 3) + 4u(t – 5) c. 9(t) = 1,3 (1) + 6113,5(t) + 4110,5 (t) D. 9(t) = I1,3(t) + 6I13,5(t) + 4u(t – 5) Compute the Laplace transform of g(t). (Type an expression using s as the variable.)
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