3 Given k ER, the function f(x, y) = (k +1)x² + ky? + 4zy admits %3D (A) a maximum point, if k = 0 %3D (B) a minimum point, if k = 0 %3D (C) a minimum point, if k = 2 (D) a saddle point, if k = 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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3 Given k ER, the function f(x, y) = (k +1)x² + ky? + 4zy admits
%3D
(A) a maximum point, if k = 0
%3D
(B) a minimum point, if k = 0
%3D
(C) a minimum point, if k = 2
(D) a saddle point, if k = 2
%3D
Transcribed Image Text:3 Given k ER, the function f(x, y) = (k +1)x² + ky? + 4zy admits %3D (A) a maximum point, if k = 0 %3D (B) a minimum point, if k = 0 %3D (C) a minimum point, if k = 2 (D) a saddle point, if k = 2 %3D
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