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Find (if they exist) the largest and smallest value of the function f (x, y, z)...

Find (if they exist) the largest and smallest value of the function f (x, y, z) = x + 2y + 4z on the set

X with the equation x 2 + y 2 + z 2 = 1 (this is the surface of the sphere with a radius of 1 and a center in (0,0,0)).

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