Find the Domain of Vector Function $\mathbf { r } = \left\langle \sqrt { 1 - t } , \ln t , e ^ { 2 t } \right\rangle$

Multiple Choice

Find the domain of vector function $\mathbf { r } = \left\langle \sqrt { 1 - t } , \ln t , e ^ { 2 t } \right\rangle$

A) [0,1]
B) (0,1)
C) (0,1]
D) (0, $\infty$ )
E) [0,1)
F) (-1,0]
G) (- $\infty$ ,1]
H) (- $\infty$ ,1)