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Mathematics
Mathematics
Problem
For a curve given by
x
=
f
(
t
)
x=f(t)
x
=
f
(
t
)
,
y
=
g
(
t
)
y=g(t)
y
=
g
(
t
)
, it is known that at
t
=
2
t=2
t
=
2
both
f
′
(
2
)
=
0
f'(2)=0
f
′
(
2
)
=
0
and
g
′
(
2
)
=
0
g'(2)=0
g
′
(
2
)
=
0
. Explain in one sentence whether the tangent at the corresponding point is horizontal, vertical, or neither.
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