A traveling transverse wave on a string transports energy. A string with linear mass density u is plucked to produce a wave y(x, t) = A sin(kx – wt), here k is the wave number and w is the angular frequency of the wave. Calculate the instantaneous and time-average power at any given point x. Now suppose the wave is reflected off a fixed end of the string, the superposition of the incident and reflected wave produce a standing wave. Find the instantaneous and time-average power at any given point x. Does the standing wave transport energy? Express your results using given variables and the wave speed v.