The equation of a transverse wave traveling along a very long string is y = 7.20 sin(0.0782?x+ 3.62?t), where x and y are expressed in centimeters and t s in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, and (e) the maximum transverse speed of a particle in the string. (f) What is the transverse displacement at x = 2.27 cm when t = 0.754 s? Give your answers in centimeter-based units, where applicable.