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

Multiple Choice

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

A) $32 + 52 t$
B) $16 + 52 t$
C) $32 + 26 t$
D) $16 + 26 t$
E) $32 + 52 t ^ { 2 }$