$\text { Find } \mathbf { r } ^ { t} ( t ) \text { given the following vector function. }$

question 69

Multiple Choice

$\text { Find } \mathbf { r } ^ { t} ( t ) \text { given the following vector function. }$ $\mathbf { r } ( t ) = 2 t ^ { 2 } \mathbf { i } + 4 t ^ { 4 } \mathbf { j } + 2 t ^ { 3 } \mathbf { k }$

• A) \(\mathbf { r } ^ { t } ( t ) = 2 t \mathbf { i } + 4 t ^ { 3 } \mathbf { j } + 2 t ^ { 2 } \mathbf { k }\)
• B) \(\mathbf { r } ^ { t } ( t ) = 4 t ^ { 2 } \mathbf { i } + 16 t ^ { 4 } \mathbf { j } + 6 t ^ { 3 } \mathbf { k }\)
• C) \(\mathbf { r } ^ { t} ( t ) = 2 t \mathbf { i } + 4 t ^ { 2 } \mathbf { j } + 2 t ^ { 3 } \mathbf { k }\)
• D) \(\mathbf { r } ^ { t } ( t ) = 4 t \mathbf { i } + 4 t ^ { 3 } \mathbf { j } + 2 t ^ { 2 } \mathbf { k }\)
• E) \(\mathbf { r } ^ { t} ( t ) = 4 t \mathbf { i } + 16 t ^ { 3 } \mathbf { j } + 6 t ^ { 2 } \mathbf { k }\)

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