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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