O f(x, y) = x² + y² R= {(x,y) | 0≤x≤1, 0≤ y ≤2-2x} on 0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Q2
Find the absolute maxima and minima of f(x, y) on the given regions
Of(x, y) = x² + y²
0≤ y ≤2-2x}
on
R = {(x,y) | 0≤x≤1,
f(x,y)=x+x² + 2y²
3 f(x, y) = x³ - y³ - 27xy
on
R = {(x,y) |1 ≤ x² + y² ≤ 4}
on R= [1,2] x [3,4]
Transcribed Image Text:Find the absolute maxima and minima of f(x, y) on the given regions Of(x, y) = x² + y² 0≤ y ≤2-2x} on R = {(x,y) | 0≤x≤1, f(x,y)=x+x² + 2y² 3 f(x, y) = x³ - y³ - 27xy on R = {(x,y) |1 ≤ x² + y² ≤ 4} on R= [1,2] x [3,4]
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