The domain of the vector function $\mathbf { v } ( t ) = \frac { 3 } { \sqrt { t ^ { 2 } - 4 } } \mathbf { i } - \sin ( 2 t ) \mathbf { j } + \frac { 1 } { t } \mathbf { k }$ is
A) $( - \infty , - 2 )$
B) $( 2 , \infty )$
C) $( - 2,2 )$
D) $( - \infty , - 2 ) \cup ( 2 , \infty )$
E) $( - \infty , \infty )$

Question

Quizplus · Accepted Answer

The Answer is D

The Domain of the Vector Function v(t)=3t2−4i−sin⁡(2t)j+1tk\mathbf { v } ( t ) = \frac { 3 } { \sqrt { t ^ { 2 } - 4 } } \mathbf { i } - \sin ( 2 t ) \mathbf { j } + \frac { 1 } { t } \mathbf { k }v(t)=t2−4​3​i−sin(2t)j+t1​k

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