Answered: math Let f : ℝ2 → ℝ be a…

math Let f : ℝ2 → ℝ be a continuous function, and let S be the subset of the ℝ2 given by all pairs (x, y) so that x2 + xy + 3y2 = 3. Show that f(S) contains a minimum and maximum value.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.4: Definition Of Function

Problem 53E

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Let f : ℝ2 → ℝ be a continuous function, and let S be the subset of the ℝ2 given by all pairs (x, y) so that x2 + xy + 3y2 = 3. Show that f(S) contains a minimum and maximum value.

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