Answered

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Find the extreme values of the function subject to the given constraint.
f(x, y, z) = x² + y² + z², x + 2y + 3z = 6
a. Maximum: none; minimum: 72/7 at (6/7, 12/7, 18/7)
b. Maximum: none; minimum: 18/7 at (3/7, 6/7, 9/7)
c. Maximum: none; minimum: 2/7 at (1/7, 2/7, 3/7)
d. Maximum: none; minimum: 2 at (1/7, 4/7, 9/7)

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