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Mathematics
Mathematics
Problem
Consider the space curve
r
(
t
)
=
⟨
cos
t
,
sin
t
,
t
⟩
\mathbf r(t)=\langle \cos t,\,\sin t,\,t\rangle
r
(
t
)
=
⟨
cos
t
,
sin
t
,
t
⟩
. What is the radius of curvature
ρ
\rho
ρ
when
t
=
π
4
t=\dfrac{\pi}{4}
t
=
4
π
? a)
2
2
2\sqrt{2}
2
2
b)
2
\sqrt{2}
2
c)
2
2
2
d)
4
4
4
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