L{f(t)}: = f(t) Complete the integral(s) that defines £{f(t)}. Jat+ [² £{f(t)} = = 6 /0 59, 0 ≤t<5 10, t≥ 5 Find £{f(t)}. (Write your answer as a function of s.) (s > 0) Dat

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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7.1.2

Use Definition 7.1.1.
Definition 7.1.1 Laplace Transform
√9,
L{f(t)}
=
f(t)
Complete the integral(s) that defines £{f(t)}.
]at+ [²
£{f(t)} =
=
=
6
10₁
0 ≤ t < 5
t≥ 5
Find £{f(t)}. (Write your answer as a function of s.)
(s > 0)
dt
Transcribed Image Text:Use Definition 7.1.1. Definition 7.1.1 Laplace Transform √9, L{f(t)} = f(t) Complete the integral(s) that defines £{f(t)}. ]at+ [² £{f(t)} = = = 6 10₁ 0 ≤ t < 5 t≥ 5 Find £{f(t)}. (Write your answer as a function of s.) (s > 0) dt
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