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Mathematics
Mathematics
Problem
The function
m
(
x
)
=
x
5
/
2
−
2
x
3
/
2
m(x)=x^{5/2}-2x^{3/2}
m
(
x
)
=
x
5/2
−
2
x
3/2
is defined for
x
≥
0
x\ge 0
x
≥
0
. For which value(s) of
x
x
x
does the graph of
m
m
m
have a horizontal tangent line? a)
{
6
/
5
}
\{6/5\}
{
6/5
}
b)
{
0
,
6
/
5
}
\{0,\;6/5\}
{
0
,
6/5
}
c)
{
0
,
3
/
5
}
\{0,\;3/5\}
{
0
,
3/5
}
d)
{
0
,
2
}
\{0,\;2\}
{
0
,
2
}
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