Find the Equation for the Level Surface of the Function $$f ( x , y , z ) = \frac { x ^ { 2 } y } { x z + y ^ { 2 } } , ( 2,7,8 )$$

question 268

Multiple Choice

Find the equation for the level surface of the function through the given point.
- $$f ( x , y , z ) = \frac { x ^ { 2 } y } { x z + y ^ { 2 } } , ( 2,7,8 )$$

• A) \(\frac { 28 } { 65 } = \frac { x ^ { 2 } y } { x z + y ^ { 2 } }\)
• B) \(65 \left( x z + y ^ { 2 } \right) = 28 x ^ { 2 } y\)
• C) \(\frac { 14 } { 39 } = \frac { x ^ { 2 } y } { x z + y ^ { 2 } }\)
• D) \(\frac { 14 } { 65 } = \frac { \mathrm { x } ^ { 2 } \mathrm { y } } { \mathrm { xz } + \mathrm { y } ^ { 2 } }\)

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