4-¹ { 1))} (5 + 1 (s + 1)(s² + 1 a) b) = Show Transcribed Text e -t 1 1 -cost +-sent 2 Show Transcribed Text 3 1 2t = −3+2t - 2t² + = e² + e²t + 2t -t

Calculus: Early Transcendentals
8th Edition
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...
icon
Related questions
Question

Solve the following Laplace transforms and inverse transforms. Choose the correct answer and substantiate the result.

a)
b)
{1}
+ 1)(s² + 1))
L
Show Transcribed Text
1
- - e
1
-cost-sent
2
-—-cost
2
Show Transcribed Text
= −3+2t - 2t² +
2t
∞ 100
Transcribed Image Text:a) b) {1} + 1)(s² + 1)) L Show Transcribed Text 1 - - e 1 -cost-sent 2 -—-cost 2 Show Transcribed Text = −3+2t - 2t² + 2t ∞ 100
c) None of the options
d)
e)
f)
=
4
65
-cost +
7
65
-3t
= 3-e¯
sent +
4
Show Transcribed Text
+2et
·e
65
?
-2t cos2t +
Show Transcribed Text
1
130
P
-2t sen2t
1
1
√5
1
- + + fet cash (1²) + 2 getreach (+2)
√5
et
zez senh
2
2√5
Transcribed Image Text:c) None of the options d) e) f) = 4 65 -cost + 7 65 -3t = 3-e¯ sent + 4 Show Transcribed Text +2et ·e 65 ? -2t cos2t + Show Transcribed Text 1 130 P -2t sen2t 1 1 √5 1 - + + fet cash (1²) + 2 getreach (+2) √5 et zez senh 2 2√5
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning