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Mathematics
Mathematics
Problem
Let
x
=
t
3
x=t^{3}
x
=
t
3
and
y
=
t
2
−
4
t
y=t^{2}-4t
y
=
t
2
−
4
t
. The curve is concave downward when
d
2
y
d
x
2
<
0
\dfrac{d^{2}y}{dx^{2}}<0
d
x
2
d
2
y
<
0
. Which one of the following values of
t
t
t
satisfies this condition? a)
4
4
4
b)
−
2
-2
−
2
c)
1
1
1
d)
2
2
2
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