At the x = 0 end of an semi-infinite rope, someone moves the endof the rope up and down sinusoidally as y[x = 0, t] = A Cos[ω t +π/4]: The speed of propagation down the string is given by c. (a)Write down a general formula for the resulting wave that propagatesdown the string. (b) What power is supplied by the person at theend of the rope? (c) At what frequencies ω must the person move thestring so that at x = L the string moves with transverse harmonicmotion given by y(x = L, t) = A Sin[ω t - π/4] ?
