1. Let H : R ! f0; 1g be a function de?ned as follows
H(t) =
0 t 0
1 t > 0
This function is known as the switching function. In other literature, it is also known
as the Heaviside Function or the Unit Step Function. As implied by the name, the
purpose of this function is to “switch”. Before t = 0, the value of H is zero, indicating
an OFF and after t = 0, the value of this function jumps from 0 to 1, indicating an ON.
Let V (t) = t sin 2t be the voltage function of an alternating current passing through a
given electric circuit after time t for t 2 R. If a switch connected to the given circuit
is switched on after t = 0, construct a function inidcating the switch, using V and H:
H(t) =
0 t 0
1 t > 0
This function is known as the switching function. In other literature, it is also known
as the Heaviside Function or the Unit Step Function. As implied by the name, the
purpose of this function is to “switch”. Before t = 0, the value of H is zero, indicating
an OFF and after t = 0, the value of this function jumps from 0 to 1, indicating an ON.
Let V (t) = t sin 2t be the voltage function of an alternating current passing through a
given electric circuit after time t for t 2 R. If a switch connected to the given circuit
is switched on after t = 0, construct a function inidcating the switch, using V and H:
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