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Mathematics
Mathematics
Problem
For
k
>
0
k>0
k
>
0
, consider the curve
y
=
k
x
2
y = kx^{2}
y
=
k
x
2
on
0
≤
x
≤
2
0 \le x \le 2
0
≤
x
≤
2
. The length of this curve over the given interval is
6
6
6
units. Determine
k
k
k
, correct to the nearest thousandth.
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