Determine the Continuity of the Function $$f ( x , y ) = \frac { 9 x y } { x ^ { 2 } + y ^ { 2 } }$$

question 116

Multiple Choice

Determine the continuity of the function $$f ( x , y ) = \frac { 9 x y } { x ^ { 2 } + y ^ { 2 } }$$

• A) continuous except at \(( 4,0 )\)
• B) continuous except at \(( 4,2 )\)
• C) continuous except at \(( 0,0 )\)
• D) continuous except at \(( 0,2 )\)
• E) continuous everywhere

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Definitions:

Sexual Response Cycle

The four stages of sexual responding described by Masters and Johnson—excitement, plateau, orgasm, and resolution.

Orgasm

The peak of sexual arousal characterized by intense pleasure and release of sexual tension, followed by a state of relaxation.

Refractory Period

A period immediately following stimulation during which a nerve or muscle is unresponsive to further stimulation.

Resolution Phase

The final phase in the sexual response cycle, characterized by a sense of relaxation and well-being following orgasm.