4. f(t)=e¹+7. 5. f(t)= test. 6. f(t) = tcost. 7. f(t) = t sint. 8. f(t) = et sint.

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 22E
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Please only answer problems 6 and 8 of this differential equations.
Part 1 Laplace transform using the definition only
Determine Lf(t) for the functions f(t), with t > 0, defined below. Make sure to specify the frequency
domain for s as well, namely, the domain of convergence of the Laplace transform.
f(t)
1.
f(t)
t
3.
f(t)
2
1
1
2.
2
4. f(t)=e¹+7.
5. f(t) = test.
6. f(t) = tcost.
7. f(t) = t sint.
8. f(t) et sin t.
Transcribed Image Text:Part 1 Laplace transform using the definition only Determine Lf(t) for the functions f(t), with t > 0, defined below. Make sure to specify the frequency domain for s as well, namely, the domain of convergence of the Laplace transform. f(t) 1. f(t) t 3. f(t) 2 1 1 2. 2 4. f(t)=e¹+7. 5. f(t) = test. 6. f(t) = tcost. 7. f(t) = t sint. 8. f(t) et sin t.
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