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Mathematics
Mathematics
Problem
Consider the parametric equations
x
(
t
)
=
t
4
−
4
t
2
x(t)=t^{4}-4t^{2}
x
(
t
)
=
t
4
−
4
t
2
and
y
(
t
)
=
t
3
−
3
t
y(t)=t^{3}-3t
y
(
t
)
=
t
3
−
3
t
for all real
t
t
t
. Determine the value(s) of
t
t
t
at which
y
y
y
changes from increasing to decreasing with respect to
x
x
x
.
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