Find the curvature $K$ of the curve $\mathbf { r } ( t ) = \left( t , t , 1 - t ^ { 2 } \right)$ at t = 0.
A)0
B) $\frac { 1 } { 8 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 1 } { 2 }$
E)1
F)2
G)4
H)8

Question

Find the curvature $K$ of the curve $\mathbf { r } ( t ) = \left( t , t , 1 - t ^ { 2 } \right)$ at t = 0.
A)0
B) $\frac { 1 } { 8 }$ 
C) $\frac { 1 } { 4 }$ 
D) $\frac { 1 } { 2 }$
E)1
F)2
G)4
H)8

Quizplus · Accepted Answer

The Answer of Find the curvature $K$ of the curve $\mathbf { r } ( t ) = \left( t , t , 1 - t ^ { 2 } \right)$ at t = 0.
A)0
B) $\frac { 1 } { 8 }$ 
C) $\frac { 1 } { 4 }$ 
D) $\frac { 1 } { 2 }$
E)1
F)2
G)4
H)8

Find the Curvature KKK Of the Curve r(t)=(t,t,1−t2)\mathbf { r } ( t ) = \left( t , t , 1 - t ^ { 2 } \right)r(t)=(t,t,1−t2)

Find the Curvature $K$ Of the Curve $\mathbf { r } ( t ) = \left( t , t , 1 - t ^ { 2 } \right)$