e function on the BOUNDARIES of the rectangle. The extreme values are the max and min for the right boundary, t
e function on the BOUNDARIES of the rectangle. The extreme values are the max and min for the right boundary, t
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Find the extreme values of the function on the BOUNDARIES of the rectangle. The extreme values are the max and min for the right boundary, the max and min for the left boundary, etc., as shown in one of the two pictu

Transcribed Image Text:Let
f(x, y) = x2 + 3y3
+ 9y2 - 2x
Let
R
be the rectangle R = {(x, y): 0 sxs 2, -1 s y s 1}·
%3D

Transcribed Image Text:The extreme values of f on the boundaries of R:
On the right boundary of R: Max
Min
On the left boundary of R: Max =
Min
%3D
%3D
On the top boundary of R: Max =
Min =
%3D
%3D
On the bottom boundary of R: Max =
Min =
%3D
%3D
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