Find the curvature of the curve defined by
r
⃗
(
t
)
=
⟨
5
cos
(
t
)
,
2
sin
(
t
)
⟩
\displaystyle \vec{{r}}{\left({t}\right)}={\left\langle{5}{\cos{{\left({t}\right)}}},{2}{\sin{{\left({t}\right)}}}\right\rangle}
r
(
t
)
=
⟨
5
cos
(
t
)
,
2
sin
(
t
)
⟩
at
t
=
π
4
\displaystyle {t}=\frac{\pi}{{4}}
t
=
4
π
.
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\displaystyle
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity