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Mathematics
Mathematics
Problem
Let
r
(
t
)
=
⟨
3
t
2
−
1
,
2
t
3
+
4
⟩
\mathbf r(t)=\langle 3t^{2}-1,\,2t^{3}+4\rangle
r
(
t
)
=
⟨
3
t
2
−
1
,
2
t
3
+
4
⟩
. Determine the equation of the tangent line to the curve at
t
=
1
t=1
t
=
1
in point–slope form in the
x
y
xy
x
y
-plane.
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