Consider the following function for t ≥ 0, y=exp(-3*t)*cos(kx-9*t+0.8)

(a) The derivative dy/dt (at fixed k and x) =

(b) At t=0, the maximum value of y =

(c) At t=0, the minimum value of y =

(e) For x=0, at what t closest to zero is dy/dt=0? t =

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