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Clearly and logically show all work. Name: 3. (25 points) Find the maximum and minimum values of f(x, y, z) = x + 3y -

Clearly and logically show all work. Name: 3. (25 points) Find the maximum and minimum values of f(x, y, z) = x + 3y - z + 9 subject to 12 + 92 + 22 = 99. (a) Write the vector equation. (b) Find the maximum and minimum values. (b) ( b )

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