e function on the BOUNDARIES of the rectangle. The extreme values are the max and min for the right boundary, t

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.2: Linear Functions And Applications
Problem 33PS
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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

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: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
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
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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