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Mathematics
Mathematics
Problem
Rank the arc lengths of the graphs
y
=
x
2
y=x^{2}
y
=
x
2
,
y
=
2
x
2
y=2x^{2}
y
=
2
x
2
, and
y
=
3
x
2
y=3x^{2}
y
=
3
x
2
on the interval
0
≤
x
≤
1
0\le x\le 1
0
≤
x
≤
1
from shortest to longest.
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