5 S (x, y) =x* -x' – 2x² + 4x + y° – 2yar² 4 be a function of two variables. Find all critical points and classify each point as a relative maximum, a relative minimum or a saddle point. Ans: Critical D Type of relative Points extrema (2,4) 8. 36 Relative minimum (-2,4) 24 44 Relative minimum (1,1) -6 Saddle point

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
Let
5
1
S (x, v) = x* x' - 2x' + 4x + y' - 2yar*
-x² – 2x² + 4x + y² – 2 yx?
3
be a function of two variables. Find all critical points and classify each point as a relative
maximum, a relative minimum or a saddle point.
Ans:
Critical
D
Type of relative
Points
extrema
(2,4)
8.
36
Relative minimum
(-2,4)
24
44
Relative minimum
(1,1)
-6
Saddle point
Transcribed Image Text:Let 5 1 S (x, v) = x* x' - 2x' + 4x + y' - 2yar* -x² – 2x² + 4x + y² – 2 yx? 3 be a function of two variables. Find all critical points and classify each point as a relative maximum, a relative minimum or a saddle point. Ans: Critical D Type of relative Points extrema (2,4) 8. 36 Relative minimum (-2,4) 24 44 Relative minimum (1,1) -6 Saddle point
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