If you use the table please state which table number you used. Thank you

Common Laplace transforms (the ones we will use from Table 5.1) 2. Cit] = n! 3. Cleat} = 1 n = 0, 1, .. . sn+1 S - Q w S 4. C{sin(wt) } = 82 + w 2 5. C{cos(wt) } = - $2 + w 2 w S 6. C{sinh(wt)} = $2 - W2 7. L{cosh(wt) } 2 - W 2 1. C{h(t)} = 14. [{h(t - a) } : e - as S Five operational properties for Laplace transforms F(s) = Lif(t) } (1) Linearity: C{cifi(t) + caf2(t) } = ciftfi(t) } + czCtfz(t) } (2) First shift theorem: Cleat f(t) } = F(s - a) (3) Second shift theorem: L{f(t - a)h(t - a)} = e-as F(s) (4) Antiderivative: C | f(7) dr) - F(8) (5) n-th derivative: C{f()(t)} = s"F(s) - s"-if(0) - ... - f(n-1)(0) n =1,2,... on =1: C{f'(t)} = s'F(s) - sof(0) = SF(s) - f(0) on = 2: [{f"(t) } = s2 F(s) - s'f(0) - sof'(0) = $2 F(s) - sf(0) - f'(0)\f\f