Wave motion is characterized by two velocities: the velocity with which the wave moves in the medium (e.g., air or a string) and the velocity of the medium (the air or the string itself) Consider a transverse wave traveling in a string. The mathematical form of the wave is y(x, t) = A sin(kx - omega t) Find the slope of the string partial differential y(z, t)/partial differential z as a function of position x and time t. Express your answer in terms of A, k, omega, z, and t.