QUESTION 4 [20 marks] а) Obtain the Laplace Transform for the following by using the Definition of Laplace Transform given by F(s) = L{f(t)} = S° f(t) e-st dt. i) f(t) = 4 [3 marks] ii) f(t) = et [4 marks] b) Obtain the Laplace Transform of f(t) = 3+ 5 sin 6t – 2e7t by using the Table of Laplace Transform. [3 marks] 3s2+6 c) Obtain the Inverse Laplace Transform of F (s) by using %3D (s-1)2 (s+2) partial fractions. [10 marks]
QUESTION 4 [20 marks] а) Obtain the Laplace Transform for the following by using the Definition of Laplace Transform given by F(s) = L{f(t)} = S° f(t) e-st dt. i) f(t) = 4 [3 marks] ii) f(t) = et [4 marks] b) Obtain the Laplace Transform of f(t) = 3+ 5 sin 6t – 2e7t by using the Table of Laplace Transform. [3 marks] 3s2+6 c) Obtain the Inverse Laplace Transform of F (s) by using %3D (s-1)2 (s+2) partial fractions. [10 marks]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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![QUESTION 4
[20 marks]
a)
Obtain
the Laplace Transform
for
the following by using the
Definition of Laplace Transform given by F(s) = L{f(t)} = S° f(t) e-st dt.
f(t)
= 4
[3 marks]
ii)
f(t) = e4t
[4 marks]
b)
Obtain the Laplace Transform of f(t) = 3 +5 sin 6t – 2e7t by using the
Table of Laplace Transform.
[3 marks]
3s2+6
c)
Obtain the Inverse Laplace Transform of F (s)
by using
(s-1)² (s+2)
partial fractions.
[10 marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a5492c7-53c9-4cb5-bb88-b95c0a9046da%2F9f8de638-c093-48f9-95e9-dc519c48f96d%2Fjj2wzl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION 4
[20 marks]
a)
Obtain
the Laplace Transform
for
the following by using the
Definition of Laplace Transform given by F(s) = L{f(t)} = S° f(t) e-st dt.
f(t)
= 4
[3 marks]
ii)
f(t) = e4t
[4 marks]
b)
Obtain the Laplace Transform of f(t) = 3 +5 sin 6t – 2e7t by using the
Table of Laplace Transform.
[3 marks]
3s2+6
c)
Obtain the Inverse Laplace Transform of F (s)
by using
(s-1)² (s+2)
partial fractions.
[10 marks]
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