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

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