Determine the interval where b must belong so that the function f(x,y)=x^(2)+bxy+y^(2)−b^(2)x−2by has a minimum point at x2+y2<9/25. Answer the upper end of this range.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine the interval where b must belong so that the function f(x,y)=x^(2)+bxy+y^(2)−b^(2)x−2by has a minimum point at x2+y2<9/25. Answer the upper end of this range.

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,2
25
Transcribed Image Text:9 z° + ,2 25
Expert Solution
Step 1

We are given,

f(x,y)=x2+bxy+y2-b2y-2by..............(1)

and x2+y2<925................(2)

We need to find an upper limit of b such that (1) has a minimum point at (2).

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