Let f(x, y) = 6 - 3y³ - yx² + 2x² + 2y² and h(x, y) = 2x² + y². a) Find all the local maximum and minimum and saddle points, with their values, for the functions f and h. b) Find all maximum and minimum points and their values for the function h subject to the constraint x² + y² = 3. C) Evaluate the double integral flf(x, y) + 3yh(x, y) - 2(x² + y²)]dA, where D is the region bounded by the lines y = 2x, x = 3, and y = 0.

Let f(x, y) = 6 - 3y³ - yx² + 2x² + 2y² and h(x, y) = 2x² + y². a) Find all the local maximum and minimum and saddle points, with their values, for the functions f and h. b) Find all maximum and minimum points and their values for the function h subject to the constraint x² + y² = 3. C) Evaluate the double integral flf(x, y) + 3yh(x, y) - 2(x² + y²)]dA, where D is the region bounded by the lines y = 2x, x = 3, and y = 0.

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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