The wave function associated with standing waves established in a 5.00 m long light-weight rope is y = 0.00300 sin(x)cos(110t) where x and y are in meters and t is in seconds. (a) How many half-wavelengths does this pattern exhibit? half-wavelength(s) (b) What is the fundamental frequency of vibration of the rope (in Hz)? Hz (c) If the original frequency is held constant and the tension in the rope is increased by a factor of 6.25, how many half- wavelengths are present in the new pattern? half-wavelength(s)