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Let $\mathbf { r } ( t ) = e ^ { \sin t } \mathbf { i } + e ^ { \cos t } \mathbf { j } - \sec t \mathbf { k }$

Question 67

Multiple Choice

Let $\mathbf { r } ( t ) = e ^ { \sin t } \mathbf { i } + e ^ { \cos t } \mathbf { j } - \sec t \mathbf { k }$ Then $\mathbf { r } ^ { \prime } ( t )$ is

A) $\cos t e ^ { \sin t } \mathbf { i } - \sin t e ^ { \cos t } \mathbf { j } - \sec t \tan t \mathbf { k }$
B) $\cos t e ^ { \sin t } \mathbf { i } - \sin t e ^ { \cos t } \mathbf { j } + \sec t \tan t \mathbf { k }$
C) $\cos t e ^ { \sin t } \mathbf { i } + \sin t e ^ { \operatorname { cost } } \mathbf { j } - \sec t \tan t \mathbf { k }$
D) $\cos t e ^ { \sin t } \mathbf { i } + \sin t e ^ { \operatorname { cost } t } \mathbf { j } + \sec t \tan t \mathbf { k }$
E) $- \cos t e ^ { \sin t } \mathbf { i } - \sin t e ^ { \cos t } \mathbf { j } - \sec t \tan t \mathbf { k }$

Let r(t)=esin⁡ti+ecos⁡tj−sec⁡tk\mathbf { r } ( t ) = e ^ { \sin t } \mathbf { i } + e ^ { \cos t } \mathbf { j } - \sec t \mathbf { k }r(t)=esinti+ecostj−sectk

Multiple Choice

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Let $\mathbf { r } ( t ) = e ^ { \sin t } \mathbf { i } + e ^ { \cos t } \mathbf { j } - \sec t \mathbf { k }$

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