Answered: f(x, y) = 6x² – 3xy+9y² − x+y=7 Local…

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f(x, y) = 6x² – 3xy+9y² − x+y=7 Local maxima are Local minima are Saddle points are m m … [I]

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 56E

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Question

Determine saddle points, all local minima and local maxima. Enter each point as an ordered triple, e.g., "(1,5,10)". If there's more than one point of a given type, write out a comma-separated list of ordered triples. If there are no points of a given type, say there is "none".

f(x, y) = 6x² − 3xy +9y² − x + y − 7
Local maxima are
Local minima are
Saddle points are
III
m
m
m
!!!

Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .

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