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Mathematics
Mathematics
Problem
Consider the curves
C
1
:
y
=
x
C_{1}: y=\sqrt{x}
C
1
:
y
=
x
and
C
2
:
y
=
2
x
C_{2}: y=\sqrt{2x}
C
2
:
y
=
2
x
on the interval
0
≤
x
≤
1
0\le x\le 1
0
≤
x
≤
1
. Which curve has the longer arc length, or are they equal?
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