Find the Curvature K of the Curve $\mathbf { r } ( t ) = t \mathbf { i } + 5 t ^ { 2 } \mathbf { j } + \frac { 7 t ^ { 3 } } { 4 } \mathbf { k } \text { at the point } P ( 2,20,14 )$

question 25

Multiple Choice

Find the curvature K of the curve $\mathbf { r } ( t ) = t \mathbf { i } + 5 t ^ { 2 } \mathbf { j } + \frac { 7 t ^ { 3 } } { 4 } \mathbf { k } \text { at the point } P ( 2,20,14 )$ Round your answer to three decimal places.

• A)7.286
• B)9.952
• C)0.021
• D)0.014
• E)0.009

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