Question

The Frenet–Serret formulas calculate derivatives taken with respect to this quantity. Elliptic integrals were developed to calculate this quantity for ellipses. (20[1])This quantity is approximated as the sum of the distances between adjacent values in a partition of the domain and may equal the supremum of all such rectifications. A function “parameterized (*) by” this quantity has a tangent vector whose magnitude is uniformly one and whose derivative equals the curvature. In Cartesian coordinates, the differential of this quantity equals the square root of d x squared plus d y squared and is denoted d s when performing a line integral. For 10 points, name this quantity equal to the distance between two points along a section of a curve. ■END■

ANSWER: arc length [accept the length of a curve or distance along a curve; prompt on s or length or perimeter or ellipse; prompt on distance before read]
<Kevin Wang, Science - Math&gt; ~24139~ &lt;Editor: David Bass>
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Buzzes

PlayerTeamOpponentBuzz PositionValue
Michael KarpovBarrington AThomas Jefferson A2020

Summary

2023 PACE NSC06/10/2023Y1100%100%0%20.00