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Please solve c

Please solve c

Algebra & Trigonometry with Analytic Geometry
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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Please solve c

Q1. Let f: R? →R be given by f(x, y) = 2x3 – 3x2 + y? – 2y. (a) Find the critical points of f and classify them into local maxima/minima and saddle points. (b) Let D be the region in the xy-plane that lies inside the quadrilateral with vertices at (0,0), (2,0), (2,2) and (1,2), together with its boundary edges. Sketch D. (c) Find the global maximum and minimum values of f on D and the points at which they occur. Mark these points on your sketch of D.
Transcribed Image Text:Q1. Let f: R? →R be given by f(x, y) = 2x3 – 3x2 + y? – 2y. (a) Find the critical points of f and classify them into local maxima/minima and saddle points. (b) Let D be the region in the xy-plane that lies inside the quadrilateral with vertices at (0,0), (2,0), (2,2) and (1,2), together with its boundary edges. Sketch D. (c) Find the global maximum and minimum values of f on D and the points at which they occur. Mark these points on your sketch of D.
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