(6.) Let r(t)=(t, sin(t), e). (a. Compute the unit tangent vector T(0). F = <1, coit?, ets دا را داد (o) 15(0)) = √3 FL) = √1/31 〒10信> (b. k(0) = Compute the curvature at the point on the curve corresponding to t=0 using |r' (0) x r" (0)| |r'(0)|3 = <0,-s=(+), et > F" (0) = 20, 0, 1> 'xx" (0) = = < 1, -1, 0> K(0) = तर Tr'xr" (√3)³ 3√3 =

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Please review and solve problem 6 part 'a' and 'b' and explain how the answer was found. Problem will be attached to this request.

(6.) Let r(t)=(t, sin(t), e).
(a.
Compute the unit tangent vector T(0).
F = <1, coit?, ets
دا را داد (o)
15(0)) = √3
FL) = √1/31
〒10信>
(b.
k(0) =
Compute the curvature at the point on the curve corresponding to t=0 using
|r' (0) x r" (0)|
|r'(0)|3
=
<0,-s=(+), et >
F" (0) = 20, 0, 1>
'xx" (0) =
= < 1, -1, 0>
K(0) =
तर
Tr'xr"
(√3)³
3√3
=
Transcribed Image Text:(6.) Let r(t)=(t, sin(t), e). (a. Compute the unit tangent vector T(0). F = <1, coit?, ets دا را داد (o) 15(0)) = √3 FL) = √1/31 〒10信> (b. k(0) = Compute the curvature at the point on the curve corresponding to t=0 using |r' (0) x r" (0)| |r'(0)|3 = <0,-s=(+), et > F" (0) = 20, 0, 1> 'xx" (0) = = < 1, -1, 0> K(0) = तर Tr'xr" (√3)³ 3√3 =
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