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Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. 2{7e-91-1² +1-3} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. L7e t-t+t-3} = (Type an expression using s as the variable.) Data table f(t) 1 at sin bt cos bt etn et sin bt ecos bt Brief table of Laplace transforms F(s)=L(f}(s) Print 1 S ,S> 0 1 s-a n! ,s> a sn +1.830 b s²+b² S s² + b² n! s>0 ,S> 0 s> a (s-a)n+1 b (s-a)² + b² s-a (s-a)² + b² s> a s> a Done X

Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. 2{7e-91-1² +1-3} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. L7e t-t+t-3} = (Type an expression using s as the variable.) Data table f(t) 1 at sin bt cos bt etn et sin bt ecos bt Brief table of Laplace transforms F(s)=L(f}(s) Print 1 S ,S> 0 1 s-a n! ,s> a sn +1.830 b s²+b² S s² + b² n! s>0 ,S> 0 s> a (s-a)n+1 b (s-a)² + b² s-a (s-a)² + b² s> a s> a Done X

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 70E
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Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. 2{7e-⁹1-1² + t-3} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. 27e9-²+t-3} = (Type an expression using s as the variable.) Data table f(t) 1 at t" sin bt cos bt etn et sin bt ecos bt Brief table of Laplace transforms F(s)-L{f}(s) Print 1 S.S> 0 1 S-a n! ,s> a sn +1.8>0 b s²+b² 2 S s² + b² n! (s-a)+1 b 2 (s-a)² + b² 2 s-a (s-a)²2 + b² s>0 ,S> 0 s> a s> a s> a Done - X
Transcribed Image Text:Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. 2{7e-⁹1-1² + t-3} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. 27e9-²+t-3} = (Type an expression using s as the variable.) Data table f(t) 1 at t" sin bt cos bt etn et sin bt ecos bt Brief table of Laplace transforms F(s)-L{f}(s) Print 1 S.S> 0 1 S-a n! ,s> a sn +1.8>0 b s²+b² 2 S s² + b² n! (s-a)+1 b 2 (s-a)² + b² 2 s-a (s-a)²2 + b² s>0 ,S> 0 s> a s> a s> a Done - X
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