If H is the Heaviside function defined in Example 1.5 .6 .prove... | Filo

The Heaviside function defined in Exercise 57 can also be usedto define the ramp function y=c t H(t), which represents agradual increase in voltage or current in a circuit.(a) Sketch the graph of the ramp function y =tH(t) . (b) Sketch the graph of the voltage V(t) in a circuit if the switch is turned on at time t =0 and the voltage is graduallyincreased to 120 volts over a 60 -second time interval. Writea formula for V(t) in terms of H(t) for t ⩽ 60.(c) Sketch the graph of the volta

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