Question: 3. Consider the parametric curve r(t) = (et cost, et sint, V2et), te R. (a) Show that the curve lies on a cone. Sketch the

3. Consider the parametric curve r(t) = (et cost, et sint, V2et), te R. (a) Show that the curve lies on a cone. Sketch the curve and the cone. (b) Find the length of the arc of the curve from the point (1, 0, v2) to the point (e27, 0, v2e27). (c) Reparametrization with respect to arc length measured from the point (1, 0, v2) in the direction of increasing t

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