Find the absolute maximum and the absolute minimum for f(x, y) = x² - y + y on the closed 3 x 3 square in the first quadrant.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Find the absolute maximum and the absolute minimum for f(x,y) = z²zy + y on the closed 3 x 3 square in the first quadrant.
Given f(z,y) = z²-zy + y find critical point:
1,2
Answer format: a, bor (a, b)
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If (a, b) is the critical point that you found then find f(a, b) :
1
Answer format: Enter a number
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h
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Transcribed Image Text:Find the absolute maximum and the absolute minimum for f(x,y) = z²zy + y on the closed 3 x 3 square in the first quadrant. Given f(z,y) = z²-zy + y find critical point: 1,2 Answer format: a, bor (a, b) Congratulations! your answer is correct (and saved). Check Answer/Save Step-By-Step Example If (a, b) is the critical point that you found then find f(a, b) : 1 Answer format: Enter a number Live Help h Congratulations! your answer is correct (and saved). Check Answer/Save Step-By-Step Example Live Help
Find the maximum and minimum values for z=3 and 0 ≤ y ≤ 3, that is, find max and min for f(3, y) :
3,9
Answer format: a, b where a is the minimum and b is the maximum.
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Find the maximum and minimum values for y = 3 and 0 ≤ ≤ 3, that i find max and min for f(z, 3) :
Answer format: a, b where a is the minimum and bis the maximum.
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X
As
Find the maximum and minimum values for a = 0 and 0 ≤ y ≤ 3, that is, find max and min for f(0, y):
(0,3)
Answer format: a, b where a is the minimum and bis the maximu
Transcribed Image Text:Find the maximum and minimum values for z=3 and 0 ≤ y ≤ 3, that is, find max and min for f(3, y) : 3,9 Answer format: a, b where a is the minimum and b is the maximum. Congratulations! your answer is correct (and saved). Check Answer/Save Step-By-Step Example Live Help Find the maximum and minimum values for y = 3 and 0 ≤ ≤ 3, that i find max and min for f(z, 3) : Answer format: a, b where a is the minimum and bis the maximum. Sorry, your answer is wrong (but saved). Better luck next time! Check Answer/Save Step-By-Step Example Live Help X As Find the maximum and minimum values for a = 0 and 0 ≤ y ≤ 3, that is, find max and min for f(0, y): (0,3) Answer format: a, b where a is the minimum and bis the maximu
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