Find the stationary points and the local extreme values. ƒ (x, y) = (x − 5) ln(xy) a) © Stationary point: (5, (5, ½}'); maximum at f = 0. b) ○ Stationary point: (5, 1); ; there is a local minimum at ƒ = 0. c) ○ Stationary point: (10,₁); (10, ²/' ) ; d) minimum at ƒ = 0. Stationary point: ( 10, f) e) maximum at ƒ = 0. Stationary point: None of these. there is a local ( ²⁄3, 5); this is a saddle point. ; there is a local ; there is a local
Find the stationary points and the local extreme values. ƒ (x, y) = (x − 5) ln(xy) a) © Stationary point: (5, (5, ½}'); maximum at f = 0. b) ○ Stationary point: (5, 1); ; there is a local minimum at ƒ = 0. c) ○ Stationary point: (10,₁); (10, ²/' ) ; d) minimum at ƒ = 0. Stationary point: ( 10, f) e) maximum at ƒ = 0. Stationary point: None of these. there is a local ( ²⁄3, 5); this is a saddle point. ; there is a local ; there is a local
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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Transcribed Image Text:Find the stationary points and the local extreme values.
f (x, y) = (x − 5) ln(xy)
a) ○ Stationary point: (5, 1); ; there is a local
maximum at f = 0.
b) ○ Stationary point: (5, 1);
minimum at f = 0.
c) ○ Stationary point: (10, ; this is a saddle point.
d) ○ Stationary point: (10,3);
minimum at f = 0.
e)
maximum at f = 0.
Stationary point:
f)
None of these.
there is a local
( 1⁄²,5);
; there is a local
there is a local
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