Find the absolute maximum and minimum of the function f(x,y) = 2x² - 4x + y² - 4y +6 on the closed triangular plate bounded by the lines x = 0, y = 2, and y = 2x in the first quadrant. On the given domain, the function's absolute maximum is 6 The function assumes this value at (0,0). (Type an ordered pair. Use a comma to separate answers as needed.) On the given domain, the function's absolute minimum is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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please also find the point at where the minimum is like i did for absolute maximum

Find the absolute maximum and minimum of the function f(x,y) = 2x² − 4x + y² − 4y + 6 on the closed triangular plate bounded by the lines
x = 0, y = 2, and y = 2x in the first quadrant.
On the given domain, the function's absolute maximum is 6
The function assumes this value at (0,0).
(Type an ordered pair. Use a comma to separate answers as needed.)
On the given domain, the function's absolute minimum is
Transcribed Image Text:Find the absolute maximum and minimum of the function f(x,y) = 2x² − 4x + y² − 4y + 6 on the closed triangular plate bounded by the lines x = 0, y = 2, and y = 2x in the first quadrant. On the given domain, the function's absolute maximum is 6 The function assumes this value at (0,0). (Type an ordered pair. Use a comma to separate answers as needed.) On the given domain, the function's absolute minimum is
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