Aşsinst – cos8t} =sin4t
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 19E
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Question
Laplace Transforms
![Problem 1: (Laplace Transforms of Elementary Punctions)
1. Esinat - įcos8t}
2. t – 2e-t +t* +3}
3.9{8sin 블 cos 피
4. Acos (- kt)}, k is a constant
5. A6 cos² }
j1 if 0<t <1
6. ĄF(t)} where F(t) =
12
if t21
Problem 2: (Dertvatives of Transforms)
1. A(t³ – 3e')²}
2. Ąe-2"cos3t + 5e-2tsin3t}
3. A(t² – 4t + 2)e4}
4. A3t*e-6cost}
5. A4t²sint – 2t°e5t}
Problem 3: (Laplace Transforms of Perlodic Punctions)
1. G(t) = e', 0 st < 3, G(t + 3) = G(t)
Sketch the graph of the function.
52 if 0 <t <1
lo if 1<t<2
Sketch the graph of the function.
2. F(t) =
,F(t + 2) = F(t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6548d0cf-0ed4-445b-9276-94ab0cf815ab%2F1b7c2a23-1f20-4e92-8e3e-bbf10f5da5fd%2Frlmq71_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 1: (Laplace Transforms of Elementary Punctions)
1. Esinat - įcos8t}
2. t – 2e-t +t* +3}
3.9{8sin 블 cos 피
4. Acos (- kt)}, k is a constant
5. A6 cos² }
j1 if 0<t <1
6. ĄF(t)} where F(t) =
12
if t21
Problem 2: (Dertvatives of Transforms)
1. A(t³ – 3e')²}
2. Ąe-2"cos3t + 5e-2tsin3t}
3. A(t² – 4t + 2)e4}
4. A3t*e-6cost}
5. A4t²sint – 2t°e5t}
Problem 3: (Laplace Transforms of Perlodic Punctions)
1. G(t) = e', 0 st < 3, G(t + 3) = G(t)
Sketch the graph of the function.
52 if 0 <t <1
lo if 1<t<2
Sketch the graph of the function.
2. F(t) =
,F(t + 2) = F(t)
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