Top Ten Student Entries in the Arc Length Contest


Function Arc Length
10 -4x^3 + 4x 3.31707
9 -12/5(x^3 + x^2 - 2x) 3.27402
8 9.1440276(2^x - x^2 - 1) 3.24903
7 -6x^2 + 6x 3.24903
6 10x(1 - sqrt(x)) 3.22108
5 -4x*ln(x) 3.2136
4 15/4*x*sqrt(1-x) 3.17617
3 8/pi*x*arccos(x) 3.1518
2 8/pi*sqrt(x - x^2) 2.91946
1 1.716209468*sqrt(x)*arccos(x) 2.91913
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Larry Riddle
Agnes Scott College