Solve the Problem $z = 2 - x ^ { 2 } - y ^ { 2 }$

question 55

Multiple Choice

Solve the problem.
-Find the point on the paraboloid $z = 2 - x ^ { 2 } - y ^ { 2 }$ that is closest to the point $( 1,1,2 )$ .

• A) \(\left( - \frac { 1 } { 2 } , - \frac { 1 } { 2 } , \frac { 3 } { 2 } \right)\)
• B) \(\left( \frac { 1 } { 2 } , \frac { 1 } { 2 } , \frac { 3 } { 2 } \right)\)
• C) \(\left( - \frac { 1 } { 2 } , \frac { 1 } { 2 } , \frac { 3 } { 2 } \right)\)
• D) \(\left( \frac { 1 } { 2 } , - \frac { 1 } { 2 } , \frac { 3 } { 2 } \right)\)

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