) f ( t ) t cos ( t ) ( Hint Use what we found in class, the integral of cos ( t ) e st and be careful when evaluating limits ( you ll need to consider L hospital s rule and squeeze theorem ( refer back to sequences in Calc II ) You will also want to use Laplace transform of sin ( t ) which will be discussed on Monday ) ) Using the Laplace transforms we already found ( or general ones stated ) and the fact that the linearity property holds for the Laplace transform ( i e L ( cos ( t ) sin ( t ) ) L cos ( t ) L sin ( t )

Question

) f ( t )   t cos ( t ) ( Hint  Use what we found in class, the integral of cos ( t ) e st and be careful when evaluating limits ( you ll need to consider L hospital s rule and squeeze theorem ( refer back to sequences in Calc II )   You will also want to use Laplace transform of sin ( t ) which will be discussed on Monday ) ) Using the Laplace transforms we already found ( or general ones stated ) and the fact that the linearity property holds for the Laplace transform ( i   e     L   ( cos ( t )   sin ( t ) )     L   cos ( t )     L   sin ( t )

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) f ( t ) = t cos ( t ) ( Hint: Use what we found in class, the integral of cos ( t

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