Find the local minimizers of: (a) f(x, y, z) = x² + 3y² +z subject to x² + y² +z² = 16. (b) f(x, y, z) = x² + 2xy+3y² +4x + 5y + 6z subject to x+2y= 3 and 4x + 5z = 6.

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Q: Find the local minimizers of: (a) f(x, y, z) = x² + 3y² + z subject to x² + y² + z² (b) f(x, y, z) =…

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Q: Find the local minimizers of: (a) f(x, y, z) = x² + 3y² + z subject to x² + y² + z² = 16. (b) f(x,…

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Q: Find the local minimizers of: (a) f(x, y, z) = x² + 3y² + z subject to x² + y² + z² = 16.

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A: (2)  Given that  f x, y = 4x3y2 + 3x2y3  (a)     ∂f∂x = 4y2∂∂xx3 + 3y3∂∂xx2       ⇒ ∂f∂x = 4y23x2 +…