1. The problem statement, all variables and given/known data The motion of a spring that is subject to a frictional force or a damping force (such as a shock absorber in a car) is often modeled by the product of an exponential function and a sine or cosine function. Suppose the equation of motion of a point on such a spring is s(t) = 5e^−1.9t sin 2πt where s is measured in centimeters and t in seconds. Find the velocity after t seconds. Graph both the position and velocity functions for 0 ≤ t ≤ 2. 2. Relevant equations Chain rule: [f(g(x)]' = f'(g(x))g'(x) Product rule: [f(x)g(x)]' = f'(x)g(x) + f(x)g'(x) 3. The attempt at a solution I am stuck finding the velocity function. I believe that I have the correct derivative, however, I am being marked incorrect. This is what I have done: v(t) = (5e^-1.9t)(-1.9)sin(2πt)+(5e^-1.9t)cos(2πt)(2π) v(t) = 5e^-1.9t[-1.9sin(2πt)+2π(cos(2πt)] I haven't attempted the rest of the problem because I need the velocity function first.