21.T. Let f be defined on D = {(¿, n) e R: > 0, 1 > 0} to R by the formula f(E, n) 1 1 +i+ cEn. Locate the critical points of f and determine whether they yield relative maxima, relative minima, or saddle points. If c > 0 and we set D,= {(6, »):> 0, n > 0, ミ+n< c}, then locate the relative extrema of f on D..

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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I already have the critical points (c ^ {- 1/3}, c ^ {1/3}) is a relative minimum, I need to locate the relative extremes of f in D1

21.T. Let f be defined on D = {(, n) € R':{ > 0, 7 > 0} to R by the formula
f(E, n) =
1
1
++ cEn.
Locate the critical points of f and determine whether they yield relative maxima,
relative minima, or saddle points. If c > 0 and we set
Di = { (, n): > 0, n > 0, + n < c},
then locate the relative extrema of f on Di.
Transcribed Image Text:21.T. Let f be defined on D = {(, n) € R':{ > 0, 7 > 0} to R by the formula f(E, n) = 1 1 ++ cEn. Locate the critical points of f and determine whether they yield relative maxima, relative minima, or saddle points. If c > 0 and we set Di = { (, n): > 0, n > 0, + n < c}, then locate the relative extrema of f on Di.
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