The equation of a transverse wave traveling along a very long string is y = 6.77 sin(0.01267rx+ 6.807rt), where x and y are expressed in centimeters and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, ((1) the speed, (e) the direction of propagation of the wave and (fl the maximum transverse speed of a particle in the string. (g) What is the transverse displacement atx = 2.24 cm when t = 0.320 s