(a) Compute and classify the critical points of f(x, y) = 2x2 − 3xy + 8y2 + x − y. (b) By completing the square, plot the contour diagram of f and show that the local extremum found in part (a) is a global one.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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(a) Compute and classify the critical points of f(x, y) = 2x2 − 3xy + 8y2 + xy.
(b) By completing the square, plot the contour diagram of f and show that the local extremum found in part (a) is a global one.

 

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