Test for Relative Extrema and Saddle Points $z = x ^ { 2 } - 8 x y + y ^ { 2 } + 120 x$

question 63

Multiple Choice

Test for relative extrema and saddle points. $z = x ^ { 2 } - 8 x y + y ^ { 2 } + 120 x$

• A)saddle point at \(( - 4 , - 16 , - 720 )\)
• B)saddle point at \(( 4,16,240 )\)
• C)saddle point at \(( 0,0,0 )\)
• D)relative minimum at \(( 4 , - 16,1264 )\)
• E)relative minimum at \(( 16,128,2176 )\)

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