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

question 34

Multiple Choice

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

• A) \(f _ { \min } = - 5\)
• B) \(f _ { \min } = - 4\)
• C) \(f _ { \min } = - 3\)
• D) \(f _ { \min } = - 2\)
• E) \(f _ { \min } = - 6\)

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