interpreting a step signal.

The image is described by y(t)=t-tu(t-1)-t(u(t-2))+t(u(t-3)). I don't get this. please point out where the signal turns on and off and why. To me, it looks like a ramp, a step, and then a ramp with neg amplitude. I can do the rest of the problem, i.e. the laplace transform and the other parts. Thanks.

Circuit Analysis

Consider the given circuit; the voltage step is an "ideal" pulse going from 0V to 4V and then back to 0V; the pulse width is 5 microseconds wide. How do I find the voltage across the resistor, Vr(t) 7 microseconds after the rising edge of the input impulse?

circuit analysis

How do I find Vx, I, and I2 for the following circuit?

logic circuit

How do I find the expression for the output, C, of the following logic circuit?

Circuit Plotting

How would I plot a graph for the following RLC circuit which shows the magnitude of Z (the input impedance) as a function of frequency from 10Hz to 10KHz? See attached file for full problem description.