1.) Memoryless 2.) Time Invariant 3.) Linear 4.) Casual 5.) Stable Determine which of these properties hold and which do not hold for each of the following continuous-time systems. Justify your answers. In each example, y(t) denotes the system output and x(t) is the system input.
a.) y(t)=x(t-2)=x(2-t) b.) y(t)=[cos(3t)]x(t) c.) y(t)=\int2t-infinity(x(?t)dt d.) y(t)=0 for t<0 & x(t)+x(t-2) for t>or=0 e.) y(t)=0 for x(t)<0 & x(t)+x(t-2) for x(t)>or=0 f.) y(t)=x(t/3) g.) y(t)=dx(t)/dt
Abicycle slows down when the rider applies the brakes. what type of energy transformation is involved in this example? a. kinetic energy into heat energy b. heat energy into potential energy c. potential energy into kinetic energy d. kinetic energy into mechanical energy
Charge is distributed along the entire x-axis with uniform density λ. how much work does the electric field of this charge distribution do on an electron that moves along the y-axis from y = a to y = b? (use the following as necessary: a, b, ε0, λ, and q for the charge on an electron.)