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Question 2 [ a) [ 1 Let f(x, y) = 1-y³ - 2yx² + 3x² + 3y² and h(x, y) = x² + 2y². Find all the local maximum and minimum and saddle points, with their values, for the functions f and h.

Question 2 [ a) [ 1 Let f(x, y) = 1-y³ - 2yx² + 3x² + 3y² and h(x, y) = x² + 2y². Find all the local maximum and minimum and saddle points, with their values, for the functions f and h.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Question 2 [ 1 Let f(x, y) = 1- y³ - 2yx² + 3x² + 3y² and h(x, y) = x² + 2y². a) [ b) [ c) [. and r = 0. Find all the local maximum and minimum and saddle points, with their values, for the functions f and h. Find all maximum and minimum points and their values for the function h subject to the constraint x² + y² = 5. Evaluate the double integral [2f(x, y) + yh(x, y) — 6(x² + y²)]dA, where D is the region bounded by the lines y = 3x, y = 2,
Transcribed Image Text:Question 2 [ 1 Let f(x, y) = 1- y³ - 2yx² + 3x² + 3y² and h(x, y) = x² + 2y². a) [ b) [ c) [. and r = 0. Find all the local maximum and minimum and saddle points, with their values, for the functions f and h. Find all maximum and minimum points and their values for the function h subject to the constraint x² + y² = 5. Evaluate the double integral [2f(x, y) + yh(x, y) — 6(x² + y²)]dA, where D is the region bounded by the lines y = 3x, y = 2,
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