x = e^2t - 2t, y = 4e^t  ,  t= ln2 (c) Find the times t where the tangent line is vertical. If the curve is the path of a moving particle, what is the physical interpretation of what is happening at the time where the tangent line is vertical?   (d) Find the arc length of the portion of C corresponding to 1≤t≤3.  (e) Set up but do not evalutate an integral for the surface area of the surface obtained by rotating the portion 1≤t≤3 of C about the x-axis.

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