1. The problem statement, all variables and given/known data A wave travels along a string in the positive x-direction at 27 m/s. The frequency of the wave is 46 Hz. At x = 0 and t = 0, the wave velocity is 2.6 m/s and the vertical displacement is y = 3 mm. Write the function y(x, t) for the wave. (Use the following as necessary: x and t. Assume x and y are in m, and that t is in s.) 2. Relevant equations y(x,t) = Asin(κx - ωt + ∂) ω = 2pif = 2pi(46) = 289.03 κ = ω/v = 289.03/27 = 10.70 3. The attempt at a solution I determined that: y(x,t) = Asin(10.70x - 289.03t + ∂) y(0,0) = Asin(∂) = 0.003 m Here is where I have trouble. I tried to take a partial derivative of the first function in order to solve for the velocity, since velocity is given. I've never encountered partial derivatives before, so I am not sure if what I did is correct. It doesn't give me the right answer. yt= -289.03Acos(10.70x - 289.03t + ∂) If (x,t) = (0,0) yt = -289Acos(∂) = 2.6 m/s I tried to combine this equation with Asin(∂) = 0.003 m to solve for ∂ and A, but I wasn't close to the final answer. Is this a matter of taking the partial derivative wrong, or am I making some other mistake?