a) Find the local max, min and saddle points of f(x,y) =(y-2)x^2- y^2

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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a) Find the local max, min and saddle points of f(x,y) =(y-2)x^2 - y^2
b) Use Lagrange Multipliers to find the max and min of f(x,y) = x^2y subject to the
constraint, with constraint 4x2 + y2 = 8
c) Evaluate the double integral of (x+y)/(x-y)2dA, where D is the region bounded by y =
2x, y = x+2, y = 0 (Hint use change of variable u = 3x-y and v = x+y)
Transcribed Image Text:a) Find the local max, min and saddle points of f(x,y) =(y-2)x^2 - y^2 b) Use Lagrange Multipliers to find the max and min of f(x,y) = x^2y subject to the constraint, with constraint 4x2 + y2 = 8 c) Evaluate the double integral of (x+y)/(x-y)2dA, where D is the region bounded by y = 2x, y = x+2, y = 0 (Hint use change of variable u = 3x-y and v = x+y)
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