The equation of a transverse wave traveling along a very long string is y=3.0sin(0.020πx−4.0πt), where x and y are expressed in centimeters and I is in seconds. Determine

a) the amplitude,

b) the wavelength,

c) the frequency,

d) the speed,

e) the direction of propagation of the wave, and

f) the maximum transverse speed of a particle in the string.

g) What is the transverse displacement at x = 3.5 cm when t = 0.26 s?