le', 121 2. f(t)=t cos81 +2 a+b hainh

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 98E
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Answer 1-2 only.

 

 

For nos.2-7, do NOT integrate anymore. Just
use the Laplace Formulas directly. If needed,
apply the trigonometric identities fırst [ For
example, cos(A+B) = cosAcosB - sinAsinB ]
before using the Laplace formulas.
V2t
(v2) t
For no.3,
means
Find L{f (t)}of the following functions. Note: a, b, e, k and n are constants.
(t+1 ,0<t <1
1. f(t) = {
le', 1 21
2. f(t) =t cos 81 +2
3. f(1) =1t+b +a cosh 21 +bsinh /21
4. S(1) =?cos" (21)+e*
5. f(t)=-3t*e0.5+ +3.8t²e²4+
6. f(t) =-e" sin (21 + 7)
7. f(t)=3e" cosh (In 21) in two ways.
-2t
Note: Please DISREGARD the phrase
"in two ways" in item #7.
Transcribed Image Text:For nos.2-7, do NOT integrate anymore. Just use the Laplace Formulas directly. If needed, apply the trigonometric identities fırst [ For example, cos(A+B) = cosAcosB - sinAsinB ] before using the Laplace formulas. V2t (v2) t For no.3, means Find L{f (t)}of the following functions. Note: a, b, e, k and n are constants. (t+1 ,0<t <1 1. f(t) = { le', 1 21 2. f(t) =t cos 81 +2 3. f(1) =1t+b +a cosh 21 +bsinh /21 4. S(1) =?cos" (21)+e* 5. f(t)=-3t*e0.5+ +3.8t²e²4+ 6. f(t) =-e" sin (21 + 7) 7. f(t)=3e" cosh (In 21) in two ways. -2t Note: Please DISREGARD the phrase "in two ways" in item #7.
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