Question: At time t, the displacement of a point on a vibrating guitar string stretched between x = 0and x = p is given by the function
f(x, t) = cos(t) sin(x), 0 = x = p, 0 = t = 2p
(a) Sketch the cross sections of this function with t fixed at t = 0 and t = pi/4. Sketch the cross sections of this function with x fixed at x=pi/4 and x=pi/2.
(b) What is the value of f if x = 0 or x = p? Explain why this is to be expected.