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Let $\mathbf { r } ( t ) = e ^ { t } \cos ( t ) \mathbf { i } - e ^ { t } \sin ( t ) \mathbf { j } + ( 2 - t ) ^ { 2 } \mathbf { k }$

Question 5

Multiple Choice

Let $\mathbf { r } ( t ) = e ^ { t } \cos ( t ) \mathbf { i } - e ^ { t } \sin ( t ) \mathbf { j } + ( 2 - t ) ^ { 2 } \mathbf { k }$ Then $\mathbf { r } ^ { \prime } ( 0 )$ is

A) $\mathbf { i } - \mathbf { j } + 4 \mathbf { k }$
B) $\mathbf { i } - \mathbf { j } - 4 \mathbf { k }$
C) $\mathbf { i } + \mathbf { j } - 4 \mathbf { k }$
D) $- \mathbf { i } - \mathbf { j } + 4 \mathbf { k }$
E) $- \mathbf { i } + \mathbf { j } - 4 \mathbf { k }$

Let r(t)=etcos⁡(t)i−etsin⁡(t)j+(2−t)2k\mathbf { r } ( t ) = e ^ { t } \cos ( t ) \mathbf { i } - e ^ { t } \sin ( t ) \mathbf { j } + ( 2 - t ) ^ { 2 } \mathbf { k }r(t)=etcos(t)i−etsin(t)j+(2−t)2k

Multiple Choice

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Let $\mathbf { r } ( t ) = e ^ { t } \cos ( t ) \mathbf { i } - e ^ { t } \sin ( t ) \mathbf { j } + ( 2 - t ) ^ { 2 } \mathbf { k }$

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