O What property does the function above ha the region above have, that guarantee thes will exist? (Hint: What I'm asking for he satisfies the conditions of the Extreme Va
O What property does the function above ha the region above have, that guarantee thes will exist? (Hint: What I'm asking for he satisfies the conditions of the Extreme Va
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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Please solve part B

Transcribed Image Text:2a) Maximize and minimize the function
f (x, y) = 1+ 4x + 2y – 2x² – y² on the triangle bounded by the
lines x = 0, y = 0, and y = 6 – x, along with its interior.
2b) What property does the function above have, and what properties does
the region above have, that guarantee these maximum/minimum values
will exist? (Hint: What I'm asking for here is how this problem
satisfies the conditions of the Extreme Value Theorem.)
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