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Find the Laplace transform of the following: 1. f(t) = (14t) - 3e-7t cos(8t) - (2t - 6)² 2. 2y+3y"-23y' - 12y = 5t-7, 3. g(t)=(3+2te - 4t² - 2t³)u(t) (8t-7t³, (t² + 3t-4, 0≤t