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Solve the Given Problem by Using Substitution f(x,y,z)=x2+y2+z2−4f ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4

Question 34

Multiple Choice

Solve the given problem by using substitution.
Find the minimum value of f(x,y,z) =x2+y2+z2−4f ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 subject to y=2xy = 2 x .


A) fmin⁡=−5f _ { \min } = - 5
B) fmin⁡=−4f _ { \min } = - 4
C) fmin⁡=−3f _ { \min } = - 3
D) fmin⁡=−2f _ { \min } = - 2
E) fmin⁡=−6f _ { \min } = - 6

Correct Answer:

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