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(Solved): The Laplace Transform of Common Functions of Time 2.1 A system is described by the function: f(t)=e^ ...
The Laplace Transform of Common Functions of Time 2.1 A system is described by the function:
f(t)=e^(-2t)sin(3t)u(t)where
u(t)is the unit step function. 2.1.1 Define the Laplace transform and state its conditions for existence. (5) 2.1.2 Write the general Laplace transform formula for
e^(-at)sin(bt). (5) 2.1.3 Compute the Laplace transform of
f(t)=e^(-2t)sin(3t)2.1.4 Determine the region of convergence (ROC) for the obtained Laplace transform. (5)
