Find the exact extreme values of the function : = f (x, y) = (x – 5)² + (y – 1)² + 28 subject to the following constraints: 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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How do I find the critical point?

Find the exact extreme values of the function
% =
: = f (x, y) = (x – 5)² + (y – 1)² + 28
-
subject to the following constraints:
0 <x < 16
0 < y< 10
Start by listing all nine candidates, including their z values, in the form (x,y,z):
First, list the four corner points and order your answers from smallest to largest x, then from smallest to largest y.
1) ( 0
54
2) ( 0
10
134
3) ( 16
150
4) ( 16
10
230
Next find the critical point.
5) (
Transcribed Image Text:Find the exact extreme values of the function % = : = f (x, y) = (x – 5)² + (y – 1)² + 28 - subject to the following constraints: 0 <x < 16 0 < y< 10 Start by listing all nine candidates, including their z values, in the form (x,y,z): First, list the four corner points and order your answers from smallest to largest x, then from smallest to largest y. 1) ( 0 54 2) ( 0 10 134 3) ( 16 150 4) ( 16 10 230 Next find the critical point. 5) (
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