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

question 11

Multiple Choice

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

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