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.
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
Section: Chapter Questions
Problem 1RQ
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Question
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.
Expert Solution
Step 1
We are given,
..............(1)
and ................(2)
We need to find an upper limit of such that (1) has a minimum point at (2).
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