The vibrations of a string fixed at both ends are described by the equation y = (5.00 mm) sin[(1-57 cm) x] sin[(314 s ) t] (a) What is the maximum displacement of the particle at x = 5-66 cm? (b) What are the wavelengths and the wave speeds of the two transverse waves that combine to give the above vibration? (c) What is the velocity of the particle at x = 5-66 cm at time t = 2:00 s? (d) If the length of the string is 100 cm, locate the nodes and the antinodes. How many loops are formed in the vibration ?