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Mathematics
Mathematics
Problem
For
0
<
x
<
10
0<x<10
0
<
x
<
10
, the volume (in cubic centimeters) of a solid depends on a single dimension
x
x
x
according to
V
(
x
)
=
800
x
−
4
x
3
.
V(x)=800x-4x^{3}.
V
(
x
)
=
800
x
−
4
x
3
.
Calculate the value of
x
x
x
at which
V
V
V
attains its maximum on this interval.
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