Consider the following definition of a Laplace transform Definition Laplace Transform Let f be a function defined on 0 , ) Then the function F defined by F ( s ) e stf ( t ) dt 0 is said to be the Laplace transform of f The domain of F ( s ) is the set of values of s for which the given improper integral converges Use the definition of a Laplace transform to find f ( t ) ( Write your answer as a function of s ) f ( t ) t , 0 t 1 1 , t 1

Question

Consider the following definition of a Laplace transform  Definition   Laplace Transform Let f be a function defined on   0 , )   Then the function F defined by F ( s )   e stf ( t ) dt 0 is said to be the Laplace transform of f   The domain of F ( s ) is the set of values of s for which the given improper integral converges  Use the definition of a Laplace transform to find   f ( t )     ( Write your answer as a function of s   ) f ( t )   t , 0 t   1 1 , t 1

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Consider the following definition of a Laplace transform. Definition - Laplace Transform Let f be a function defined on [ 0 , ) . Then

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