The Laplace transform of the function f(t) = sin(6t)-t³+e at s is equal to A. +45+₁8> 3, - B. 2-6+45+18> 3, C. (-3)²+6+1,8> 3, D. 32-68+45+,8> 3, E. None of these. The inverse Laplace transform at t of the function F(s) = (+1)(+2)(-3) is A. 3e-2t + 4e +e³t, B. 2e-t-3e-2t + e³t, C. 5e-t-3e-2t + e³t, D. 2e + 3e-2t+e³t, E. None of these. 15. 3 points equal to