Find L{f (t)}of the following functions. Note: a, b, e, k and t are constants. t+1 ,0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 60E
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Topic: Laplace Transforms

For nos.2-7, do NOT integrate anymore. Just use the Laplace Formulas directly. If needed, apply the
trigonometric identities first [ For example, cos(A+B) = cosAcosB - sinAsinB ] before using the Laplace
formulas.
For no.3, v2t means (v2) t
Find L{f (t)}of the following functions. Note: a, b, e, k and are constants.
1. f(t)=+1 ,0s1<1
1. f(1)=-
le', t21
2. f(t)=t cos 81 +2
3. f(t)=t®*+b +acosh 21 + bsinh 2t
2
4. f(!) =-cos" (21) +e²
e
Transcribed Image Text:For nos.2-7, do NOT integrate anymore. Just use the Laplace Formulas directly. If needed, apply the trigonometric identities first [ For example, cos(A+B) = cosAcosB - sinAsinB ] before using the Laplace formulas. For no.3, v2t means (v2) t Find L{f (t)}of the following functions. Note: a, b, e, k and are constants. 1. f(t)=+1 ,0s1<1 1. f(1)=- le', t21 2. f(t)=t cos 81 +2 3. f(t)=t®*+b +acosh 21 + bsinh 2t 2 4. f(!) =-cos" (21) +e² e
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