Examine the Function $f ( x , y ) = 4 x ^ { 2 } - 2 x y + 4 y ^ { 2 } + 120 x + 60 y$

question 19

Multiple Choice

Examine the function $f ( x , y ) = 4 x ^ { 2 } - 2 x y + 4 y ^ { 2 } + 120 x + 60 y$ for relative extrema.

• A)relative \(\text { minimum }\) at \(( - 18 , - 12 )\)
• B)relative \(\text { maximum }\) at \(( - 18 , - 12 )\)
• C)relative \(\text { minimum }\) at \(( - 18,12 )\)
• D)relative \(\text { maximum }\) at \(( - 18,12 )\)
• E)no relative extrema

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