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The total period of the function shown in the figure is 4 sec and the amplitude is 10. Find the function f1 (t) from t = 0 to 1 in terms of unit step function.(a) 10t [u (t) – u (t + 1)](b) 10t [u (t) + u (t – 1)](c) 10t [u (t) + u (t + 1)](d) 10t [u (t) – u (t – 1)]I got this question in final exam.I'd like to ask this question from Definition of the Laplace Transform topic in portion Intoduction to the Laplace Transform of Network Theory

Answer» CORRECT choice is (d) 10t [u (t) – u (t – 1)]

The BEST explanation: The function shown in the figure is made up of LINEAR segments with break points at 0, 1, 3 and 4 seconds. From the graph, f1 (t) = 10t FOR0 < t < 1. In terms of unit step function, f1 (t) = 10t [u (t) – u (t – 1)].


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