At What Point on the Given Surface Is the Quantity $x ^ { 2 } + y ^ { 2 } + z ^ { 2 }$

question 91

Multiple Choice

At what point on the given surface is the quantity $x ^ { 2 } + y ^ { 2 } + z ^ { 2 }$ a minimum (The method of Lagrange multipliers can be used here.) $z = \left( 4 x ^ { 2 } + 10 x + y ^ { 2 } + 22 \right) ^ { \frac { 1 } { 2 } }$

• A) \(( - 1,0,5 )\)
• B) \(( 1,0,4 )\)
• C) \(( - 1,0,4 )\)
• D) \(( - 1,0,6 )\)
• E) \(( - 3,0,3 )\)

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