Solve the Problem $\mathrm { f } ( \mathrm { x } , \mathrm { y } ) = 16 - \mathrm { x } ^ { 2 } - \mathrm { y } ^ { 2 }$

question 171

Multiple Choice

Solve the problem.
-Find an equation for the level curve of the function $\mathrm { f } ( \mathrm { x } , \mathrm { y } ) = 16 - \mathrm { x } ^ { 2 } - \mathrm { y } ^ { 2 }$ that passes through the point $( \sqrt { 2 } , \sqrt { 5 } )$ .

• A) \(x ^ { 2 } + y ^ { 2 } = - 7\)
• B) \(x ^ { 2 } - y ^ { 2 } = 7\)
• C) \(x ^ { 2 } + y ^ { 2 } = 23\)
• D) \(x ^ { 2 } + y ^ { 2 } = 7\)

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