For the functions f ( t ) et and g ( t ) e 4 t , defined on 0 t , compute f g in two different ways By directly evaluating the integral in the definition of f g ( f g ) ( t ) 0 t dw By computing L 1 F ( s ) G ( s ) where F ( s ) L f ( t ) and G ( s ) L g ( t ) ( f g ) ( t ) L 1 F ( s ) G ( s ) L 1 help ( formulas )

Question

For the functions f ( t )   et and g ( t )   e 4 t , defined on 0 t   , compute f g in two different ways  By directly evaluating the integral in the definition of f g   ( f g ) ( t )   0 t dw   By computing L 1   F ( s ) G ( s )   where F ( s )   L   f ( t )   and G ( s )   L   g ( t )     ( f g ) ( t )   L 1   F ( s ) G ( s )     L 1       help ( formulas )

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For the functions f ( t ) = et and g ( t ) = e 4 t , defined on 0 t < ,

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