To understand the relationship between the step and impulse functions and use the sifting property of the impulse function to calculate the integral of a function that is the product of some function and the impulse function. The impulse function. delta (t), is defined by the following two equations integral_-infinity^infinity K delta(t)dt = K delta(t) = 0 for t notequalto 0 The first of these equations tells us that the area under the impulse function is a constant: the second equation tells us that the impulse is zero everywhere except where the argument of the function is zero. An impulse occurring at t = a is written delta(t – a). The relationship between the impulse function and the unit step function Consider the following piecewise function: f(t) = {0, t

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