Suppose that f(x, y) = x? – zy + y² – 3z + 3y, with domain D constrained by the lines y = z, y = 0 , and æ = 3. The critical point of f(x, y) restricted to the boundary of D, but not at a corner point, is at (a, b), where and b The absolute minimum of f(x, y) is and the absolute maximum is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Suppose that f(x, y) = 2? – ry + y² – 3z + 3y, with domain D constrained by the lines y = r, y = 0
and z =
3.
The critical point of f(z, y) restricted to the boundary of D, but not at a corner point, is at (a, b), where
and b =
a =
The absolute minimum of f(z, y) is
and the absolute maximum is
Transcribed Image Text:Suppose that f(x, y) = 2? – ry + y² – 3z + 3y, with domain D constrained by the lines y = r, y = 0 and z = 3. The critical point of f(z, y) restricted to the boundary of D, but not at a corner point, is at (a, b), where and b = a = The absolute minimum of f(z, y) is and the absolute maximum is
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