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Mathematics
Mathematics
Problem
For
k
>
0
k>0
k
>
0
, let
C
k
C_k
C
k
be the graph of
y
=
x
3
k
y = \dfrac{x^{3}}{k}
y
=
k
x
3
on the interval
0
≤
x
≤
1
0 \le x \le 1
0
≤
x
≤
1
. If the length of
C
k
C_k
C
k
on this interval is
2
2
2
units, determine
k
k
k
, correct to the nearest hundredth.
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