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Find all local maxima, local minima, and saddle points of each function. Enter each point as an ordered triple, e.g., "(1,5,10)". If there is more than one point of a given type, enter a comma- separated list of ordered triples. If there are no points of a given type, enter "none". f(r, y) = 8x? – 4xy + 3y² – 3x + 3y – 7 Local maxima are none Local minima are none Saddle points are none f(x, y) = 9x² + 3xy Local maxima are none Local minima are none Saddle points are none

Find all local maxima, local minima, and saddle points of each function. Enter each point as an ordered triple, e.g., "(1,5,10)". If there is more than one point of a given type, enter a comma- separated list of ordered triples. If there are no points of a given type, enter "none". f(r, y) = 8x? – 4xy + 3y² – 3x + 3y – 7 Local maxima are none Local minima are none Saddle points are none f(x, y) = 9x² + 3xy Local maxima are none Local minima are none Saddle points are none

Advanced Engineering Mathematics
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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Find all local maxima, local minima, and saddle points of each function. Enter each point as an ordered triple, e.g., "(1,5,10)". If there is more than one point of a given type, enter a comma- separated list of ordered triples. If there are no points of a given type, enter "none". f(r, y) = 8x2 4гу + 3у? — За + 3у — 7 Local maxima are none Local minima are none Saddle points are none f(x,y) 9x2 + 3ry Local maxima are none Local minima are none Saddle points are none
Transcribed Image Text:Find all local maxima, local minima, and saddle points of each function. Enter each point as an ordered triple, e.g., "(1,5,10)". If there is more than one point of a given type, enter a comma- separated list of ordered triples. If there are no points of a given type, enter "none". f(r, y) = 8x2 4гу + 3у? — За + 3у — 7 Local maxima are none Local minima are none Saddle points are none f(x,y) 9x2 + 3ry Local maxima are none Local minima are none Saddle points are none
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