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Mathematics
Mathematics
Problem
Given
r
(
t
)
=
⟨
e
t
,
t
2
,
ln
t
⟩
\mathbf r(t)=\langle e^{t},\,t^{2},\,\ln t\rangle
r
(
t
)
=
⟨
e
t
,
t
2
,
ln
t
⟩
for
t
>
0
t>0
t
>
0
, determine an equation of the normal plane to the curve at the point corresponding to
t
=
1
t=1
t
=
1
.
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