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The Domain of the Vector Function v(t)=3t24isin(2t)j+1tk\mathbf { v } ( t ) = \frac { 3 } { \sqrt { t ^ { 2 } - 4 } } \mathbf { i } - \sin ( 2 t ) \mathbf { j } + \frac { 1 } { t } \mathbf { k }

Question 79

Multiple Choice

The domain of the vector function v(t) =3t24isin(2t) j+1tk\mathbf { v } ( t ) = \frac { 3 } { \sqrt { t ^ { 2 } - 4 } } \mathbf { i } - \sin ( 2 t ) \mathbf { j } + \frac { 1 } { t } \mathbf { k } is


A) (,2) ( - \infty , - 2 )
B) (2,) ( 2 , \infty )
C) (2,2) ( - 2,2 )
D) (,2) (2,) ( - \infty , - 2 ) \cup ( 2 , \infty )
E) (,) ( - \infty , \infty )

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