Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the Laplace transform of

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Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the Laplace transform of the function below. cos 7t+ e 4t - 1 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. the - 3t DEN cos 7t+ e4¹ -1} =
Table of Laplace Transforms f(t) G 2 1 t, n=1,2,... at sin bt cos bt ett, n=1,2,... at sin bt e cos bt F(s) = £{f}(s) 1 S S 11 S ra n! n+1 b 2 s+b S s+b n! S> 0 14 S> 0 STO 2 E y (s-a)n +1 S> 0 S> 0 12 2 (s-a)² + b² s-a (s-a)² + b² sta Spa spa
Properties of Laplace Transforms £{f+g} = £{f} + £{g} L{cf} c{f} for any constant c L {e at f(t)} (s) = £{f}(s - a) L{f} (s) = s£{f}(s)-f(0) L {f' ^) (s) = s² £{f}(s) — sf(0) – f'(0) www L {f(n)} (s) = s£{f}(s) - s"-¹f(0) -s-²f'(0) - ... -f(n-1) (0) £{t" f(t)} (s) = ( − 1)" (L{f}(s))