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Global Extremum – Domain of lines – Exercise 5529

Exercise

Given the function

z=xy+x^2-2y^2-9y

1. Find its local extremum points and determine their type.

2. Given the domain

x=0, y=0, x-y-8=0

Find the maximum value and the minimum value of the function.

Final Answer

A saddle point

(1,-2,9)

Min and max values

\max_D z(8,0) = 64

\min_D z(0,-8) =-56

Solution

Coming soon…

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