MATH 382 Study Guide - Quiz Guide: Unit Vector, Parametric Equation
24 Feb 2017
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Issues: curvature cannot be greater than 12. What is the maximum curvature and at what t does it occur: at t = 3. 5 build a parametric equation for the tangent line with a length of 2 as t goes from 0 to 1. The rst step was to nd what the curvature looked like: As can be seen from the graph there are two points during the train"s route where it"s curvature is greater than 12. Due to the fact that the max curvature the train can safely navigate is 12 and that the actual route goes beyond that curvature limit the train cannot be deemed safe. After visually looking at what point may be the maximum the local maximums were calculated and compared. The max curvature it actually accomplishes is 13. 1751 at t = The rst step was to gure out the starting point.
