Determine the Largest Set on Which the Function Is Continuous $F ( x , y ) = \arctan ( 10 x + 8 \sqrt { y - 5 } )$

question 33

Multiple Choice

Determine the largest set on which the function is continuous. $F ( x , y ) = \arctan ( 10 x + 8 \sqrt { y - 5 } )$

• A) \(\{ ( x , y ) \mid y \geq 5 \}\)
• B) \(\{ ( x , y ) \mid y \leq 0 \}\)
• C) \(\{ ( x , y ) \mid x \geq 1 \}\)
• D) \(\{ ( x , y ) \mid x \geq 0 \}\)
• E) \(\{ ( x , y ) | y \geq 3 , | 10 x + 8 \sqrt { y } \mid \leq 1 \}\)

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