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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 + bt+c 2.1²+ e²t-2 3. (1-9)² 4. e²1-1 5. (1 + ¹)² 6. 3 t sin t 7. t² sin 2t 8. e-2¹ 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

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 + bt+c 2.1²+ e²t-2 3. (1-9)² 4. e²1-1 5. (1 + ¹)² 6. 3 t sin t 7. t² sin 2t 8. e-2¹ 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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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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 + bt+c 2.1² +²t-2 3. (t - 9)² 4. e²t - 1 5. (1 + ¹)² 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 sint 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 + bt+c 2.1² +²t-2 3. (t - 9)² 4. e²t - 1 5. (1 + ¹)² 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 sint 13. sin 2t sinh 2t 14. sin² t 15. sinh 3t 16. cos³t 17. t sin² t
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