f(x, y, z, w) = a cosz+acosy+acosz+acos w+zy+yz+zw which is a function of four variables, and it has a critical point at x=y=z=w = 0 (this is obvious; you do not need to verify it). (A) Classify the critical point, assuming a = 0. (B) Classify the critical point, assuming a = 1/2. (C) Classify the critical point, assuming a = 1.
f(x, y, z, w) = a cosz+acosy+acosz+acos w+zy+yz+zw which is a function of four variables, and it has a critical point at x=y=z=w = 0 (this is obvious; you do not need to verify it). (A) Classify the critical point, assuming a = 0. (B) Classify the critical point, assuming a = 1/2. (C) Classify the critical point, assuming a = 1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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