Suppose that f(x, y, z) = (x − 3)² + (y − 3)² + (z − 3)² with 0 ≤ x, y, z and x + y + z ≤ 12. - 1. The critical point of f(x, y, z) is at (a, b, c). Then a = b = C= 2. Absolute minimum of f(x, y, z) is and the absolute maximum is

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Suppose that f(x, y, z) = (x − 3)² + (y − 3)² + (z − 3)² with 0 ≤ x, y, z and x + y + z ≤ 12.
-
1. The critical point of f(x, y, z) is at (a, b, c). Then
a =
b
=
C=
2. Absolute minimum of f(x, y, z) is
and the absolute maximum is
Transcribed Image Text:Suppose that f(x, y, z) = (x − 3)² + (y − 3)² + (z − 3)² with 0 ≤ x, y, z and x + y + z ≤ 12. - 1. The critical point of f(x, y, z) is at (a, b, c). Then a = b = C= 2. Absolute minimum of f(x, y, z) is and the absolute maximum is
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