(a) Find the critical points of f(r,y) = r² + y² + ry? and determine whether these points are local maximums, local minimums, or saddle points. (b) Find the extreme values (if any) of f(r, y) = 3ry subject to the constraint r2 + y? = 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(a) Find the critical points of f(r, y) = x² + y? + xy? and determine whether these points are local
maximums, local minimums, or saddle points.
(b) Find the extreme values (if any) of f(x, y) = 3xy subject to the constraint x² + y? = 4
Transcribed Image Text:(a) Find the critical points of f(r, y) = x² + y? + xy? and determine whether these points are local maximums, local minimums, or saddle points. (b) Find the extreme values (if any) of f(x, y) = 3xy subject to the constraint x² + y? = 4
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