13.8 #2 Examine the function for relative extrema.f(x, y) = 3x² + 5y2 - 6x - 10y + 12(х, у, 2) %3D (saddle pointO relative maximumnone of theseO relative minimumNeed Help?Read ItTalk to a Tutor

Answered: Examine the function for relative…

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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13.8 #2

Examine the function for relative extrema.
f(x, y) = 3x² + 5y2 - 6x - 10y + 12
(х, у, 2) %3D (
saddle point
O relative maximum
none of these
O relative minimum
Need Help?
Read It
Talk to a Tutor

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$F o r f (x, y) t o h a v e a r e l a t i v e e x t r e m u m a t (x, y), C o n d i t i o n 1 : f_{x} (x, y) = 0 a n d f_{y} (x, y) = 0 6 x - 6 = 0 a n d 10 y - 10 = 0 x = 1 a n d y = 1$

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