Question: 3. Let C be the space curve with parametric equation r(t) = (tcost, tsint, 2{2tv/t),t > 0. (a) [2p] (i) Find the arc length function

3. Let C be the space curve with parametric equation r(t) = (tcost, tsint, 2{2tv/t),t > 0. (a) [2p] (i) Find the arc length function for C' measured from the origin in the direction of increasing t and then reparametrize the curve with respect to arc length starting from the origin. (ii) Find the length of the curve between the points A ( s \"T'/g, 2"5,/76_\" ) and B ('3', \"T'/g, 8"5{,3; ) ; (iii) Suppose that you start at the point (0, 0,0) and travel 4 units along the curve in the positive direction. Where are you now

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