For Problems 1-20, find the Laplace transform of the given function, using Table 5.1 from Section 5.1 and properties of the Laplace transform given in Table 5.2. 1. at² + b + c 2.1² + e²t - 2 3. (t - 9)² 4. e²t - 1 5. (1 + e² 6. 3 t sin t 7. t² sin 2t 8. e-2t sin 3t 9.5 est cos 2t 10. t²e-3t 11. tet cos t 12. t²e¹ sin t 13. sin 2t sinh 2t 14. sin² t 15. sinh 3t 16. cos³t 17. t sin² t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 65E
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Help with 17 because the correct answer is (1/2s^2) + (s^2-4 / 2(s^2+4)^2) and i dont know how to get that

For Problems 1-20, find the Laplace transform of the given function, using
Table 5.1 from Section 5.1 and properties of the Laplace transform given in
Table 5.2.
1. at² + b + c
2.1² + e²t - 2
3. (t - 9)²
4. e²t - 1
5. (1 + e²
6. 3 t sin t
7. t² sin 2t
8. e-2t sin 3t
9.5 est cos 2t
10. t²e-3t
11. tet cos t
12. t²e¹ sin t
13. sin 2t sinh 2t
14. sin² t
15. sinh 3t
16. cos³t
17. t sin² t
Transcribed Image Text:For Problems 1-20, find the Laplace transform of the given function, using Table 5.1 from Section 5.1 and properties of the Laplace transform given in Table 5.2. 1. at² + b + c 2.1² + e²t - 2 3. (t - 9)² 4. e²t - 1 5. (1 + e² 6. 3 t sin t 7. t² sin 2t 8. e-2t sin 3t 9.5 est cos 2t 10. t²e-3t 11. tet cos t 12. t²e¹ sin t 13. sin 2t sinh 2t 14. sin² t 15. sinh 3t 16. cos³t 17. t sin² t
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