Find the Minimum Value of the Function $f ( x , y ) = x ^ { 2 } + y ^ { 2 }$

question 112

Multiple Choice

Find the minimum value of the function $f ( x , y ) = x ^ { 2 } + y ^ { 2 }$ subject to the constraint that $x y = 2$ .

• A) \(\frac { 1 } { 2 }\)
• B)1
• C) \(\frac { 3 } { 2 }\)
• D)2
• E) \(\frac { 5 } { 2 }\)
• F)3
• G) \(\frac { 7 } { 2 }\)
• H)4

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