ok, for example, how do I graph this equation:mathmike said:can you be a little more specific
The first thing you need to do is define r(.)EvLer said:ok, for example, how do I graph this equation:
V(t) = 2r(t-2) - 2r(t-6) - 8u(t-8).
r(t) is the integral of the step function u(t). In other words, it's the area under the step function. It's graph is a ramp whose slope matches the amplitude of the step function (in this case, 2r(t-2), 2r tells you the amplitude of the original step function was 2. The ramp function r(t) is a ramp with a slope of 2.uart said:The first thing you need to do is define r(.)
sorry...HallsofIvy said:By the way, it is not "heavy-side" function! It is "Heaviside" function, named for Oliver Heaviside (1850-1925).
could you show/describe a little more to me what that looks like? if it were subtraction of the same magnitude, I get it, but different magnitudeYou have a slope of 2 for awhile. When the next switch closes, you have to subtract 1 from your slope (1*r(t-2)). You're still at the same point on the graph, but the slope has changed to one.