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At What Point Is the Following Function a Local Minimum $f ( x , y ) = 8 x ^ { 2 } + 5 y ^ { 2 }$

Question 35

Multiple Choice

At what point is the following function a local minimum? $f ( x , y ) = 8 x ^ { 2 } + 5 y ^ { 2 }$

A) $( 5,0 )$
B) $( 8 , - 5 )$
C) $( 8,0 )$
D) $( 8,5 )$
E) $( 0,0 )$

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