Find the Domain of the Vector-Valued Function Given Below $$\mathbf { r } ( t ) = \sqrt { 16 - t ^ { 2 } } \mathbf { i } + \frac { 1 } { t + 6 } \mathbf { j } + ( t - 4 ) \mathbf { k }$$

question 13

Multiple Choice

Find the domain of the vector-valued function given below. $$\mathbf { r } ( t ) = \sqrt { 16 - t ^ { 2 } } \mathbf { i } + \frac { 1 } { t + 6 } \mathbf { j } + ( t - 4 ) \mathbf { k }$$

• A) \([ - \infty , 4 )\)
• B) \([ 0,4 ]\)
• C) \([ - 4,4 ]\)
• D) \(( - \infty , \infty )\)
• E) \([ - 4 , \infty )\)

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