quiz1_rev

quiz1_rev - Quiz 1 January 11, 2010 ECE-202, Section 1 Find...

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Quiz 1 January 11, 2010 ECE-202, Section 1 Find the one-sided Laplace transform of f ( t ) ( t T ) 2 ( t 2 T ) ( t T ) 2 ( t 2 T ) for T > 0. SOLUTION: From the definition of the Laplace Transform, whose lower limit is 0 , and the sifting property of the delta function, the answer is F ( s ) ( t T ) 2 ( t 2 T ) ( t T ) 2 ( t 2 T ) e st dt 0 ( t T ) 2 ( t 2 T ) e st dt 0 T 2 e 2 Ts ECE-202, Section 2 Find the one-sided Laplace transform of f ( t ) cos(2 t ) ( t 2 T ) sin(2 t ) (2 t T ) for T > 0. Use the SIFTING property of the delta function and the DEFINITION of the Laplace Transform.
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