2. Consider the following mathematical representation of a transverse wave on a rope: z(y,t) = 4.00 cos(-2y- 8t) meters, (a) In which direction are the oscillations of a piece of rope taking place? (b) In which direction is the wave traveling? (c) What is the amplitude of the wave? (d) What is the wave number of the wave? (e) What is the wavelength of the wave? (f) What is the angular frequency of the wave? (g) What is the frequency of oscillation of the wave? (h) What is the period of oscillation of the wave? (i) What is the speed of propagation of the wave? (j) What is the maximum speed of a piece of rope as it oscillates? (k) If the mass density of the rope is 0.0250 kg/m, what is the tension in the rope?