Find the Curvature of the Curve R(t) $$\mathbf { r } ( \mathrm { t } ) = ( 3 + \ln ( \sec t ) ) \mathbf { i } + ( 1 + \mathrm { t } ) \mathbf { k } , - \pi / 2 < \mathrm { t } < \pi / 2$$

question 65

Multiple Choice

Find the curvature of the curve r(t) .
- $$\mathbf { r } ( \mathrm { t } ) = ( 3 + \ln ( \sec t ) ) \mathbf { i } + ( 1 + \mathrm { t } ) \mathbf { k } , - \pi / 2 < \mathrm { t } < \pi / 2$$

• A) \(\kappa = - \cos t\)
• B) \(\kappa = \sin t\)
• C) \(\kappa = \cos t\)
• D) \(\kappa = 1 - \cos t\)

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