Locate and describe the relative extrema, if any exist, of the function f(x, y) = 2x²+4y² - 4x-8y+2 The critical point (1,1) produces a local minimum Hint: Enter an ordered triplet (x, y, z) into the final box.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 2E
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I need help with the answer that belongs in the 3rd blank box.This is part of a review packet we received to help us study for an exam coming up. Please help!

Locate and describe the relative extrema, if any exist, of the function
f(x, y) = 2x²+4y² - 4x-8y+2
The critical point (1,1)
produces a local minimum
Hint: Enter an ordered triplet (x, y, z) into the final box.
Transcribed Image Text:Locate and describe the relative extrema, if any exist, of the function f(x, y) = 2x²+4y² - 4x-8y+2 The critical point (1,1) produces a local minimum Hint: Enter an ordered triplet (x, y, z) into the final box.
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