Find the Curvature of the Curve $r ( t ) = 3 \sin 4 t \mathbf { i } + 3 \cos 4 t \mathbf { j } + 3 t \mathbf { k }$

question 67

Multiple Choice

Find the curvature of the curve $r ( t ) = 3 \sin 4 t \mathbf { i } + 3 \cos 4 t \mathbf { j } + 3 t \mathbf { k }$ .

• A) \(\frac { 4 } { 3 }\)
• B) \(\frac { 3 } { 4 }\)
• C) \(\frac { 51 } { 16 }\)
• D) \(\frac { 16 } { 51 }\)

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