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6) ( 0 -1 7) ( 16 8) ( 9) ( 10

6) ( 0 -1 7) ( 16 8) ( 9) ( 10

Advanced Engineering Mathematics
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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How to solve for the boundary points

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) ( 5 1 28 Lastly, find the four boundary points and order your answers from smallest to largest x, then from smallest to largest y. 6) ( 0 -1 7) ( 16 8) ( 9) ( 10
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) ( 5 1 28 Lastly, find the four boundary points and order your answers from smallest to largest x, then from smallest to largest y. 6) ( 0 -1 7) ( 16 8) ( 9) ( 10
Expert Solution
Step 1

Given 

z=fx,y=x-52+y-12+28

subject to constraint

  0≤x≤16

  0≤y≤10

steps

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