The following represent solutions of the transmission line differential equations for some arbitrary function f(u):
v(z, t) = 60 cos(1000t -5z) - 120 pi f (2t + z/100+12) v
i(z, t) = 2 pi f (2t +z/100 +12) - cos (1000 t -5z) a
a) what is the forward propagating voltage waveform?
b) what is the beckward propagating curent waveform?
c) what is the characteristic impedence of this line?
d) what is thw velocity of propagation for a signal on this line?
e) what is the total voltage at t=0 at the input end of the line (z=0)

Liquid flows at steady state at a rate of 2 lb/'s through a pump, which operates to raise the elevation of the liquid 100 ft from control volume inlet to exit. the liquid specific enthalpy at the inlet is 40.09 btu/lb and at the exit is 40.94 btub. the pump requires 3 btu/s of power to operate. if kinetic energy effects are negligible and gravitational acceleration is 32.174 tt/s, the heat transfer rate associated with this steady state process is most closely 1)-2,02 btu/s from the liquid to the surroundings 2)-3.98 btu/s from the surroundings to the liquid. 3)-4.96 btu/s from the surroundings to the liquid. 4)-1.04 btu/s from the liquid to the surroundings.