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 f(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 f(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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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