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Mathematics
Mathematics
Problem
For
r
(
t
)
=
⟨
3
t
,
t
2
,
0
⟩
\mathbf r(t)=\langle 3t,\,t^{2},\,0\rangle
r
(
t
)
=
⟨
3
t
,
t
2
,
0
⟩
, what is the curvature
κ
\kappa
κ
at
t
=
0
t=0
t
=
0
? a)
2
27
\dfrac{2}{27}
27
2
b)
2
9
\dfrac{2}{9}
9
2
c)
1
9
\dfrac{1}{9}
9
1
d)
2
3
\dfrac{2}{3}
3
2
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