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Examine the Function Given Below for Relative Extrema and Saddle f(x,y)=f ( x , y ) =

Question 91

Multiple Choice

Examine the function given below for relative extrema and saddle points. f(x,y) =f ( x , y ) = (x1) 2+(y3) 2( x - 1 ) ^ { 2 } + ( y - 3 ) ^ { 2 }


A) The function has a relative minimum at (1,3,0) ( 1,3,0 ) .
B) The function has a relative maximum at (1,3,0) ( 1,3,0 ) .
C) The function has a saddle point at (1,3,0) ( 1,3,0 ) .
D) The function has a saddle point at (0,1,3) ( 0,1,3 ) .
E) The function has a saddle point at (0,1,3) ( 0,1,3 ) .

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