Question: 3. (4+2 points) A skater is practicing making figure 8s on the ice. This could be modelled in the following way: if the rink is

3. (4+2 points) A skater is practicing making figure 8s on the ice. This could be modelled in the following way: if the rink is viewed as a coordinate plane, the skater starts at (0, 0), travels in a counterclockwise circle of radius 1 centered at (0, 1), and then upon returning to the origin skates a clockwise circle of radius 1 centered at (0, -1), before returning to the origin. (a) Give a parametric equation r (t) = (x(t), y(t)) such that the skater travels at constant speed and completes the first, upper circle of the figure 8 exactly once for 0

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