Exercise 5. Consider the function f(x, y) = sin(xy), 0 ≤ x ≤ 1,0 ≤ y ≤ 1. find local maximum and minimum if they exist does the function f have global extremum? If it is the case find global maximum and minimum if they exist graph the function in zz-plane, in the plane y = 1 and in the plane z = y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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Exercise 5.
Consider the function f(r. y) = sin(zy), 0 < r <7, 0 < y <1.
• find local maximum and minimum if they exist
• does the function f have global extremum? If it is the case find global maximum
and minimum if they exist
• graph the function in rz-plane, in the plane y= 1 and in the plane r = y
Transcribed Image Text:Exercise 5. Consider the function f(r. y) = sin(zy), 0 < r <7, 0 < y <1. • find local maximum and minimum if they exist • does the function f have global extremum? If it is the case find global maximum and minimum if they exist • graph the function in rz-plane, in the plane y= 1 and in the plane r = y
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