SOLVED: Consider a graph ofthe function f():Using the Heaviside function write down formula for f(t). Use u(t - a) for the Heaviside function shifted a units horizontally: f(t)

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(1 point)The graph of f(t) is given in the figure. Represent f(t) using a combination of Heaviside step functions.Use h(t - a) for the Heaviside function shifted a units horizontally.f(t) =

The Heaviside function H is defined by H(t) = { 0 1 . It is used in the study of electric circuits to represent the sudden surge of electric current, or voltage, when a switch is instantaneously turned on. (a) Sketch the graph of the Heaviside function. (b) Sketch the graph of the voltage V(t) in a circuit if the switch is turned on at time t = 0 and 120 volts are applied instantaneously to the circuit. Write a formula for V(t) in terms of H(t) . (c) Sketch the graph of the voltage V

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SOLVED: The Heaviside function is used in engineering applications to model flipping a switch. It is defined below:0 if x 0 Sketch the graph of H on the interval [-1, 1]: Does lim H(x) exist? x -> 0 Choose the correct graph below:0AH(x)Does lim H(x) exist? x -> 0 No, because the function has an open circle at (0, 0). Yes, because the function is defined for every value of x in the range [1, 1]. No, because the value of lim H(x) = 0 0 - H(0) = 0. Yes, because the value of lim H(x) = 1.5 is equal

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