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MATHEMATICS - CASE STUDY

    Introduction


Ski Track for Ski Jump

 

In order to prepare for the Winter Olympics games, a ski resort is checking its slopes to make sure that they are compatible with Olympics standard. One of the ski tracks for the ski jump can be described using the function r = 100cos2θ meters for 0 ≤ θπ/2, as shown in the figure. The organizers of the games would like to find out what is the total length of the ski track.

   
    Questions


Estimated Curve for the Ski Track
 

Determine the arc length of the polar curve.

   
  Approach