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Question 2 [ a) [ b) [ | Let f(x, y) = 1-y³ - 2yr² +37²2 + 3y² and h(x, y) = 2² + 2y². 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 z² + y² = 5. [2f(z,y) + yh(z,y) — 6(x² + y²)]dA, where D is the region bounded by the lines y = 3r. y = 2, Evaluate the double integral c) [. and x = 0.

Question 2 [ a) [ b) [ | Let f(x, y) = 1-y³ - 2yr² +37²2 + 3y² and h(x, y) = 2² + 2y². 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 z² + y² = 5. [2f(z,y) + yh(z,y) — 6(x² + y²)]dA, where D is the region bounded by the lines y = 3r. y = 2, Evaluate the double integral c) [. and x = 0.

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 30E
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Question 2 [ a) [ b) [ | Let f(x, y) = 1-y³ - 2yr² + 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 Find all maximum and minimum points and their values for the function / subject to the constraint ² + y² = 5. [2f(x, y) + yh(x, y) — 6(x² + y²)]dA, where D is the region bounded by the lines y = 3x, y = 2, Evaluate the double integral c) [. and x = 0.
Transcribed Image Text:Question 2 [ a) [ b) [ | Let f(x, y) = 1-y³ - 2yr² + 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 Find all maximum and minimum points and their values for the function / subject to the constraint ² + y² = 5. [2f(x, y) + yh(x, y) — 6(x² + y²)]dA, where D is the region bounded by the lines y = 3x, y = 2, Evaluate the double integral c) [. and x = 0.
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